Pythagorean Theorem, Special Right Triangles, and Trigonometry

What is the formula for the Pythagorean theorem as used to find a side length on a right triangle?

• a² = b² + c²

• a² + b² = c²

• a² - b² = c²

• a² + b² + c²

Tags

CCSS.8.G.B.8

A ladder reaches a height of 19 feet on the side of a building. If the base of the ladder is 10 feet from the wall, the length of the ladder is ​ (a)   .

• 21.5 feet

• 16.2 feet

• 29 feet

• 5.4 feet

Tags

CCSS.8.G.B.8

Find the long leg of the triangle (x).

• 9

• 3√3

• 6

• 6√3

Tags

CCSS.HSG.SRT.C.8

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.C.6

Calculate the value of h in the figure above.

• h = 35.60

• h = 35.00

• h = 35.71

• h = 61.03

Tags

CCSS.8.G.B.8

What is the length of y in this picture?

• 3√3

• 3

• 6

• 3√2

Tags

CCSS.HSG.SRT.C.8

What is the value of x?

• 12√2

• 12√3

• 24

• 36

Answer explanation

The original

Scale factor = 12

Tags

CCSS.HSG.SRT.C.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 picture?

• 3√3

• 3

• 6

• 3√2

Tags

CCSS.HSG.SRT.C.8

Find x.

• 22

• 11√3

• 11√2

• 11

Tags

CCSS.HSG.SRT.C.8