Pythagorean Theorem Facts

Which of the following is true about all right triangles?

• The sum of the measures of the legs of a right triangle is equal to the measure of the hypotenuse.

• The product of the measures of the legs of a right triangle is equal to the measure of the hypotenuse.

• The sum of the measures of the legs of a right triangle squared is equal to the length of the square of the hypotenuse.

• The sum of the squares of each leg of a right triangle is equal to the square of the hypotenuse.

Tags

CCSS.8.G.B.8

Consider the diagram. 
Based on the diagram, which of the following is NOT true? 

• 3² + 4² = 5²

• 3² + 5² = 4²

• 5² - 4² = 3²

• 5² -  3² = 4²

Tags

CCSS.8.G.B.8

To get home from work, Felix can either take a bike bath through the rectangular park or ride his bike along two sides of the park. 
How much farther would Felix travel by riding along the two sides of the park than he would be taking the path through the park? 

• 7 mi

• 0.6 mi

• 2.5 mi

• 0.1 mi

Tags

CCSS.8.G.B.8

Gwendolyn placed a 10 foot ladder against the side of her house so that the base of the ladder was 3 feet from the base of the house, as shown in the diagram. 
Which measurement in feet is closest to d, the distance from the top of the ladder to the ground? 

• 10.4 ft

• 7.0 ft

• 6.5 ft

• 9.5 ft

Tags

CCSS.8.G.B.8

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Tags

CCSS.8.G.B.7

Solve for the length indicated.

• 9

• 10

• 11

• 12

Tags

CCSS.HSG.CO.C.9

Value of x

Tags

CCSS.8.G.B.7

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Tags

CCSS.HSG.CO.C.9