Pythagorean Theorem

Right Triangles- Using the Pythagorean Theorem

Multiple Choice

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation represents the Pythagorean Theorem?

• a² + b² = c²

• a² + c² = b²

• a + b = c

Multiple Choice

Which statement is true?

• The sum of the area of square 1 and the area of square 2 is less than the area of square 3.

• The sum of the area of square 1 and the area of square 2 is more than the area of square 3.

• The sum of the area of square 1 and the area of square 2 is equal to the area of square 3.

• The sum of the perimeter of square 1 and the perimeter of square 2 is equal to the perimeter of square 3.

Multiple Choice

Is this a right triangle?

• Yes

• No

• Maybe

• So

Multiple Choice

What could represent the measurements of square 1, square 2, and square 3?

• 
  square 1=30 square units; square 2=36 square units; square 3 =42 square units

• square 1=30 square units; square 2=72 square units; square 3 =78 square units

• square 1=50 square units; square 2=100 square units; square 3 =200 square units

• square 1=50 square units; square 2=150 square units; square 3 =200 square units

Multiple Choice

If the area of the red square is 225, and the area of the green square is 64, what the area of the blue square?

• 15

• 17

• 289

• 14,400

Multiple Choice

What would the dimensions of the missing area need to be to create a right triangle?

• 7X7

• 12X5

• 13X13

• 17X17

Multiple Choice

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes
• No
• Maybe
• Pythagoras

Multiple Choice

What is the length of the missing side x?

• $$\sqrt[]{13}$$

• $$\sqrt[]{39}$$

• $$\sqrt[]{40}$$

• $$\sqrt[]{89}$$

Fill in the Blanks

Fill in the Blanks

Multiple Choice

A right triangle has leg measure of 20 inches and 15 inches. What is the measure of the hypotenuse of the triangle?

• 5

• 20

• 25

• 35

Multiple Choice

The top of a ladder is leaning against a vertical wall, 12 feet above the floor. The bottom of the ladder is resting on the floor, 9 feet from the base of the wall. How long is the ladder?

• 15 feet

• 17 feet

• 19 feet

• 21 feet