Choose the correct ratio.

cos ⁡ 37 = x 14 \cos\ 37\ =\ \frac{x}{14} cos 3 7 = 1 4 x

sin ⁡ 37 = x 14 \sin\ 37\ =\ \frac{x}{14} sin 3 7 = 1 4 x

tan ⁡ 37 = x 14 \tan\ 37\ =\ \frac{x}{14} tan 3 7 = 1 4 x

sin ⁡ 37 = 14 x \sin\ 37\ =\ \frac{14}{x} sin 3 7 = x 1 4

Choose the correct ratio.

sin ⁡ Z = 5 13 \sin\ Z=\ \frac{5}{13} sin Z = 1 3 5

sin ⁡ X = 5 13 \sin\ X\ =\ \frac{5}{13} sin X = 1 3 5

cos ⁡ X = 13 12 \cos\ X\ =\ \frac{13}{12} cos X = 1 2 1 3

tan ⁡ Z = 12 5 \tan\ Z\ =\ \frac{12}{5} tan Z = 5 1 2

Find the value of each variable. Write answers in simplest radical form.

x = 6 , y = 6 3 x=6,\ \ y=6\sqrt{3} x = 6 , y = 6 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">

x = 24 , y = 24 3 x=24,\ \ \ \ y=24\sqrt{3} x = 2 4 , y = 2 4 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">

x = 4 3 , y = 8 3 x=4\sqrt{3},\ \ y=8\sqrt{3} x = 4 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"> , y = 8 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">

x = y = 6 2 x\ =\ y\ =\ 6\sqrt{2} x = y = 6 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">

Right Triangle Geometry Review

Authored by Hannah Barnard

Mathematics

7th - 8th Grade

CCSS covered

Used 38+ times

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20 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the length of the missing side. (HINT: Pythagorean Th.)

17 cm

22 cm

15 cm

13 cm

Tags

CCSS.8.G.B.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

^{Find the missing side. (HINT: Pythagorean Th.)}

108

83.6

Tags

CCSS.8.G.B.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the value of x.

17.9 km

13.9 km

24 km

Dang! I wish I had been paying attention in class.

Tags

CCSS.8.G.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the figure, what is AD, in centimeters?

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which side of the triangle is the hypotenuse?

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which side of the triangle is opposite of angle R?

Tags

CCSS.7.G.A.2

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which side of the triangle is adjacent to angle R?

Tags

CCSS.HSG.SRT.C.6

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Right Triangle Geometry Review

Find the length of the missing side. (HINT: Pythagorean Th.)

^{Find the missing side. (HINT: Pythagorean Th.)}

Find the value of x.

In the figure, what is AD, in centimeters?

Which side of the triangle is the hypotenuse?

Which side of the triangle is opposite of angle R?

Which side of the triangle is adjacent to angle R?

The hypotenuse is always across from the right angle of a triangle.

If you are given the opposite side and hypotenuse, which trig function should you use?

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

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