Math Facts
Hypotenuse
Legs
Is It A Right Triangle
Word Problems
100

112

121

100

Use the Pythagorean theorem to find c.

A=3

B=4

5

100

Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.

a = 3

100

Is it a right triangle?

1-2-3

No

A+ B≠ C2

100

The floor of a rectangular living room is 5 meters by 12 meters. What is the distance between opposite corners of the living room?

13 meters

200

132

169

200

Use the Pythagorean theorem to find c.

A=6

B=8

10

200

Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.

b = 15

200

Is it a right triangle?

30-40-50

Yes!

A+ B2 = C2

200

Destiny is hiding 12 meters south of Robert, and Vince is hiding 9 meters east of Destiny. How far apart are Robert and Vince?


15 meters

300
√225

15

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

300

Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.

b = 24

300

Is it a right triangle?

10-11-21

No

A+ B≠ C2

300

The library is 4 kilometers due south of the courthouse and 3 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?


5 km

400

212

441

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

400

Use the Pythagorean theorem to find the missing leg for the triangle with b=20 and c=29.

a = 21

400

Is it a right triangle?

9-41-40

Yes!

A+ B2 = C2

400

Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 12 miles. If the two airplanes are 20 miles apart, how far has the eastbound airplane traveled?

16 miles

500
√729

27

500

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.

a = 35

500

Is it a right triangle?

90-72-54

Yes!

A+ B= C2

500

Tom is mountain climbing with Jill and has just climbed a 15-meter vertical rock face. Jill is standing 8 meters away from the bottom of the cliff, looking up at Tom. How far away are Tom and Jill?


17 meters

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