Finding the Distance of a Line Using the Pythagorean Theorem

A right rectangular prism is shown below. About how long is the diagonal of the prism?

(HINT: For finding the diagonal of a rectangular prism, square the length, width, and height of the prism and add them... then find the square root.)

• 4 feet

• 5 feet

• 7 feet

• 12 feet

Solve for c.

Hint: It is a Pythagorean Triple.

• 7

• 9

• 4

• 13

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

The Pythagorean Theorem ONLY works for which type of triangles?

• obtuse

• right

• isosceles

• scalene

What is the side of a right triangle across from the right angle called?

• square

• the hypotenuse

• a leg

• an arm

Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long. The bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

• 3.2

• 4

• 7.1

• 5

Find the hypotenuse.

• 9

• 20

• 6.4

• 3

• 8.5

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Hint: Find the missing side, THEN find the perimeter of the triangle.

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Its faster to take the hypotenuse route to school than to walk the other blocks.

True or False.

• True

• False