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

Quiz

•

Mathematics

•

7th - 8th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.SRT.C.6, HSG.SRT.C.8, 8.G.B.7

+2

Standards-aligned

Hannah Barnard

Used 36+ times

FREE Resource

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which side of the triangle is opposite of angle R?

QP

QR

RP

Tags

CCSS.7.G.A.2

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Which side of the triangle is adjacent to angle R?

QP

QR

RP

Tags

CCSS.HSG.SRT.C.6

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