Pythagorean Theorem and Special Right Triangles

The Pythagorean Theorem states that the sum of the squared lengths of the legs of a right triangle is equal to

• 1

• c

• the square of the length of the hypotenuse

• length of the hypotenuse

Tags

CCSS.8.G.B.8

solve for c

• 7

• √7

• √13

• 13

For the right triangle shown, solve for y in simplest radical form

• 20

• 2√10

• √40

• √58

Solve for x in simplest radical form

• √10

• √100

• 10

• 100

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

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Tags

CCSS.8.G.B.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How long does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Tags

CCSS.8.G.B.8

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Tags

CCSS.HSG.SRT.C.8

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

• 4√2
• 4
• 8
• 4√3

Tags

CCSS.8.G.B.8

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

• 8√2
• 4√2
• 4
• 8

Tags

CCSS.8.G.B.8

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

• 4
• u
• v

Tags

CCSS.HSG.CO.C.10