Find the length of m.

2 3 2\sqrt{3} 2 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">

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

It's the same length as the hypotenuse.

In this 45-45-90 triangle, to find the value of y, (the other leg), you must...

Use the same length for the second leg.

Multiply that leg by $$\sqrt[]{2}$$

Divide that leg by $$\sqrt[]{2}$$

What are a and b in this 30-60-90 triangle?

b= $$\frac{7}{2}\sqrt[]{3}$$ a = $$7\sqrt[]{3}$$

b = 7 $$\sqrt[]{3}$$ a = 14 $$\sqrt[]{3}$$

What are x and y in this 30-60-90 triangle?

x = 3 $$\sqrt[]{3}$$ y = 3 $$\sqrt[]{2}$$

2 \sqrt{2} 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">

3 \sqrt{3} 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">

Special Right Triangles--More Practice

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.SRT.C.8, 8.G.B.7, HSG.CO.C.10

+3

Standards-aligned

David Henry

Used 8+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Choose the correct values for x and y in the right triangle.

y = 11

Tags

CCSS.HSG.SRT.C.8

2.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Choose the correct values for x and y in the right triangle.

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Choose the correct values for x and y in the right triangle.

$x=6\sqrt{3}$

$x=9$

$y\ =\ 3\sqrt{6}$

$y=6\sqrt{3}$

Tags

CCSS.HSG.SRT.C.8

4.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Choose the correct values for x and y in the right triangle.

Tags

CCSS.HSG.SRT.C.8

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is side c?

hypotenuse

long leg

short leg

Tags

CCSS.8.G.B.7

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which side is the long leg in this 30-60-90 triangle?

4

u

v

Unable to determine!

Tags

CCSS.HSG.CO.C.10

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What type of special triangle is this?

45°-45°-90°

30°-60°-90°

Isosceles

Obtuse

Tags

CCSS.4.G.A.2

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Special Right Triangles--More Practice

30 questions

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

What is side c?

Which side is the long leg in this 30-60-90 triangle?

What type of special triangle is this?

What type of special right triangle is this?

Solve for x.
Use the rules for 45-45-90 and 30-60-90 triangles.

Find x.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Special Right Triangles--More Practice

30 questions

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.

What is side c?

Which side is the long leg in this 30-60-90 triangle?

What type of special triangle is this?

What type of special right triangle is this?

Solve for x. Use the rules for 45-45-90 and 30-60-90 triangles.

Find x.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve for x.
Use the rules for 45-45-90 and 30-60-90 triangles.