The hypotenuse of a 45°-45°-90° triangle measures 7 2 7\sqrt{2} 7 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> units. What is the length of one leg of the triangle?

7 2 7\sqrt{2} 7 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> units

14 2 14\sqrt{2} 1 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> units

The hypotenuse of a 45°-45°-90° triangle measures 10 5 10\sqrt{5} 1 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> in. What is the length of one leg of the triangle?

5 10 5\sqrt{10} 5 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 5 5\sqrt{5} 5 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

10 5 10\sqrt{5} 1 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

10 10 10\sqrt{10} 1 0 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

What are the angle measures of triangle ABC?

m ∠A = 90°, m ∠B = 60°, m ∠C = 30°

m ∠A = 30°, m ∠B = 60°, m ∠C = 90°

m ∠A = 60°, m ∠B = 90°, m ∠C = 30°

m ∠A = 90°, m ∠B = 30°, m ∠C = 60°

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden?

60 3 60\sqrt{3} 6 0 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

120 3 120\sqrt{3} 1 2 0 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

Geometry B - Unit 1 Review

Authored by Delmesa Callins

Mathematics

9th - 12th Grade

CCSS covered

Used 12+ times

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20 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which equation can be used to find the measure of angle LKJ?

cos^-1 (8.9/10.9) = x

cos^-1( 10.9/8.9) = x

sin^-1(10.9/8.9) = x

sin^-1(8.9/10.9) = x

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is the best approximation for the measure of angle ABC?

$27.7\degree$

$31.7\degree$

$58.3\degree$

$62.3\degree$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

$33.6\degree$

$39.8\degree$

$50.2\degree$

$56.4\degree$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image. What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

$16.7\degree$

$17.5\degree$

$72.5\degree$

$73.3\degree$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The equation $\cos\left(35\degree\right)\ =\ \frac{a}{25}$ can be used to find the length of $\overline{BC}$ . What is the length of $\overline{BC}$ ? Round to the nearest tenth.

14.3 in.

20.5 in.

21.3 in.

22.6 in.

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The equation $\tan\left(55\degree\right)\ =\ \frac{15}{b}$ can be used to find the length of $\overline{AC}$ . What is the length of $\overline{AC}$ ? Round to the nearest tenth.

3.0 in.

9.8 in.

10.5 in.

12.8 in.

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

183 meters

250 meters

366 meters

683 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given right triangle RST, what is the value of sin(S)?

$\frac{5}{13}$

$\frac{5}{12}$

$\frac{12}{13}$

$\frac{13}{12}$

Tags

CCSS.HSG.SRT.C.6

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given right triangle QRS, what is the value of sin(30°)?

$\frac{\sqrt{3}}{3}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

$\frac{2}{1}$

Tags

CCSS.HSG.SRT.C.6

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Geometry B - Unit 1 Review

Which equation can be used to find the measure of angle LKJ?

Which is the best approximation for the measure of angle ABC?

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image. What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

The equation cos⁡(35°) = a25\cos\left(35\degree\right)\ =\ \frac{a}{25}cos(35°) = 25a​ can be used to find the length of BC‾\overline{BC}BC . What is the length of BC‾\overline{BC}BC ? Round to the nearest tenth.

The equation tan⁡(55°) = 15b\tan\left(55\degree\right)\ =\ \frac{15}{b}tan(55°) = b15​ can be used to find the length of AC‾\overline{AC}AC . What is the length of AC‾\overline{AC}AC ? Round to the nearest tenth.

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground? Round to the nearest tenth.

Given right triangle RST, what is the value of sin(S)?

Given right triangle QRS, what is the value of sin(30°)?

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The equation $\cos\left(35\degree\right)\ =\ \frac{a}{25}$ can be used to find the length of $\overline{BC}$ . What is the length of $\overline{BC}$ ? Round to the nearest tenth.

The equation $\tan\left(55\degree\right)\ =\ \frac{15}{b}$ can be used to find the length of $\overline{AC}$ . What is the length of $\overline{AC}$ ? Round to the nearest tenth.