Modeling the Pythagorean Theorem

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the larger square. Do these three squares support this statement?

• yes

• no

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the larger square. Do these three squares support this statement?

• yes

• no

Which statement is true?

• The sum of the areas of square A and square C is equal to the area of square B.

• The sum of the areas of square B and square C is equal to the area of square A.

• The sum of the areas of square of C and Square B and square A equal to the area of square C.

• The sum of the areas of square A and Square B is equal to the area of square C.

Do the given side lengths form a right triangle?

• Yes

• No

Find the value of x.

Mathematical Equivalence

ON

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

Find the missing length.

• 12

• 10

• 16

• 5

Solve for the length indicated.

• 9

• 10

• 11

• 12

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON