Find the hypotenuse
Word Problems
Find the leg
Triangle Inequality and Sum Theorems
Angles (Complementary, Supplementary and Vertical)
100

Use the Pythagorean theorem to find the missing hypotenuse for the triangle with legs 3 and 4 inches long

What is 5 inches

100

A suitcase measures 24 inches long and 18 inches high.  What is the diagonal length of the suitcase?

What is 30 inches

100

A triangle with sides of 3 and 5.

What is 4

100

This is the theorem that states the two smallest sides must add to be greater than the third side.

What is the Triangle Inequality Theorem?

100

These angles are congruent to one another.

What are Vertical Angles?

200

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 6 and 8.

What is 10

200

You go for a run and run 8 miles north and 5 miles west.  How far away are you from your starting point?

What is 9.4 miles

200

Triangle with leg 8 and hypotenuse 10

What is 6

200

This is the Theorem that states that the three angles inside the triangle adds to be 180 degrees.

What is the Triangle Sum Theorem?

200

Find the value of x


What is 30 degrees?

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle with sides 5 and 12

What is 13

300

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

What is 5

300
Triangle with leg 9 and hypotenuse 15
What is 12
300

What is the missing angle in this triangle?


What is 81 degrees?

300

Find measure of angle SRT.


What is 150 degrees?

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle has sides 4 and 5

What is 6.4

400

A glider flies 8 miles south from the airport and then 15 miles east. Then it flies in a straight line back to the airport. What was the distance of the glider’s last trip back to the airport?

What is 17 miles

400

Triangle with hypotenuse 20 and leg 16

What is 12

400

This is the smallest possible third side in a triangle with the two other sides being 23in. and 15in.

What is 9in.?

400

Find the value of x.


What is 10?

500

Use the Pythagorean theorem to find the missing hypotensue for the triangle with sides 7 and 6

What is 9.2

500

A flag pole is 20ft high and cast a shadow of 5ft. What is the distance from the top of the pole to the end of the shadow?

What is 20.6 feet

500

Triangle with side leg 12 and hypotenuse 13.

What is 5

500

Find angle Z


What is 49 degrees?

500

Find the measure of Angle b


What is 146 degrees?

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