Pythagorean Theorem and Special Right Triangles

Find the missing side of the 30-60-90 triangle.

• A

• B

• C

• D

Tags

CCSS.HSG.CO.C.10

solve for x

• 5552363959656.

• 10

• 100

• 89

Tags

CCSS.8.G.B.7

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Tags

CCSS.8.G.B.8

I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Tags

CCSS.HSG.CO.C.10

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

Tags

CCSS.HSG.SRT.C.8

solve for the value of y

• 13

• 5

• 23

• 10

Tags

CCSS.8.G.B.7

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

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

Tags

CCSS.HSG.CO.C.10

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3

• 16√3

• 32

• 16√2

Tags

CCSS.HSG.CO.C.11

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Tags

CCSS.8.G.B.8