In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

Use the same length for the second leg

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

Multiply that leg's length by √2.

It is the same length as the given leg.

Multiply that leg's length by 2.

Divide that leg's length by √2.

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.

Divide 4 3 \frac{4}{\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"> 4

4 3 3 \frac{4\sqrt{3}}{3} 3 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">

4 3 2 \frac{4\sqrt{3}}{2} 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">

4 3 4\sqrt{3} 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">

Special Right Triangles

Quiz

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

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

+5

Standards-aligned

Used 19+ times

FREE Resource

52 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

134.4

67.2

95√2

(95√2)/2

Tags

CCSS.8.G.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of y.

8

4

2√3

8√3

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of y.

7

7√3

14√3

(14√3)/3

Tags

CCSS.HSG.SRT.C.8

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of y.

11√2

11

22

(11√2)/2

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of x.

18

18√3

36√3

12

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of y.

9

18√2

9√2

(9√2)/2

Tags

CCSS.HSG.CO.C.10

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line? Round to the nearest inch.

48√2

68

34

24√2

Tags

CCSS.8.G.B.8

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Special Right Triangles

52 questions

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

Find the value of y.

Find the value of y.

Find the value of y.

Find the value of x.

Find the value of y.

A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line? Round to the nearest inch.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

What is the length of y in this picture?

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

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