Missing Side
Converse
Real World
Multiple Choice
Open Reponse
100

A = 3

B = 4

What is the length of C?

C = 5
100

Would these side lengths form a right triangle?

12, 24, 36

No

100

Melissa wants to put a ribbon border around a sign in her classroom shaped like the right triangle below. If ribbon costs $0.82 cents per foot, how much will it cost her to buy the ribbon for her sign?

A = 6 

B = 8 

$19.68

100

Which of the following is not a true statement about the sides of a right triangle?

A. The hypotenuse is the longest side.

B. The legs are the sides adjacent to the 90°

angle.

C. Side “a” is always longer than side “b”.

D. The hypotenuse is opposite the 90° angle.

C

100

A = 12

C = 20

Find B

B = 16

200

A = 7

B = 24

What is the length of C?

C = 25

200

Would these side lengths form a right triangle?


20, 29, 21

Yes

200

A square sandbox in Trisha’s backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.

12.7

200

A cone shaped tepee has a radius of 4 feet and a slant height of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.

A. Joe is shorter than the tepee.

B. Joe is taller than the tepee.

C. Joe is the same height as the tepee.

D. There is not enough information to determine if Joe is shorter or taller than the tepee.

B

200

Marcy’s breakfast table has a square table top

with an area of 36 square feet. What is the

diagonal length of the table top?

8.5 feet

300

A = 12

B = 7

What is the length of C?

C = 13.9

300

Would these lengths form a right triangle?

12.5, 7.5, 10

Yes

300

To walk to her friends house, Julie normally walks 63 yards north and 16 yards east as shown. How many yards shorter would it be if Julie took the diagonal shortcut, x?

14 yards shorter

300

Which of the following could not be the side lengths of a right triangle?

A. 7.5, 10 and 12.5

B. 85, 13 and 84

C. 37, 35 and 12

D. 24, 22 and 40

D
300

A = 9

C = 14

Find B

B = 16.6 

400

B = 5

C = 13

What is A?

A = 12

400

Patty wants a triangular garden in her backyard for all of her vegetables. She is going to use three pieces of fencing that measure 7 feet, 10 feet and 8 feet. Will her garden be in the shape of a right triangle?

No

400

Lincoln is building a wooden garage door in the shape of a rectangle with a width of 16 feet and a height of 8 feet. Lincoln is going to place two boards in the shape of an “X” on the door.

How many feet of materials will he need for the “X”?

About 35.8 feet

400

Paul is building a bridge for a school project and wants to make a right triangle out of three popsicle sticks that measure 8 cm, 10 cm and 18 cm. Can he make a right triangle out of these lengths?

A. Yes, because 8 + 10 = 18.

B. Yes, because 82 + 102 = 182.

C. No, because 8(2) + 10(2) ≠ 18(2).

D. No, because 82 + 102 ≠ 182.

D

400

In a football drill, Ron is standing 30 yards

directly east of John, and Bill is standing 40

yards directly north of John. If the football is

thrown from Ron to Bill and then from Bill to

John, how many yards did the football travel?

90 yards

500

A = 16

C= 24

What is B?

C = 17.9

500

Jimmy thinks a window frame in his house looks slanted because the corner doesn’t appear to be a 90° angle. His wife thinks it looks just fine. They measured the window to check and found the width to be 25 inches, the height to be 36 inches, and the diagonal distance to be 45 inches. Who is correct?

Jimmy

500

If the perimeter of square 3 is 36 units and

the perimeter of square 2 is 48 units, what is

the area of square 1?

225

500

A pyramid has a square base with sides that measure 10 cm and a height of 14 cm. What is the slant height of the pyramid?

A. 17.2 cm

B. 14.9 cm

C. 13.2 cm

D. 12.1 cm

B

500

The diameter of the cone is

40 feet, and the height is 21

feet. Find the slant height.

29 ft

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