Solve for the missing side length.
Missing Side Length Word Problems
Distance Between Two Points
Is the triangle a Right Triangle?
100

What is the length of the missing side? 

Show your work and round your answer to the nearest tenth.

a= 3cm

b= 4cm

c= x

c = 5cm

100

The ladder is placed 12 feet from the wall. The top of the ladder touches a spot that is 16 feet off of the ground. How long is the ladder?

Show your work and round your answer to the nearest tenth.

The ladder is 20 feet tall. 

100

What is the distance between points A and B? Show your work and round your answer to the nearest tenth.

The square root of 11 or 3.3

100

Given the following side lengths: 3, 4, 5 Would they form a right triangle? Make sure to show your work!

Yes, these side lenghts would form a right triangle.

200

What is the length of the missing side? 

Show your work and round your answer to the nearest tenth.

a= 9cm

b= x cm

c= 14 cm

b = 10.7 cm

200

A softball diamond is a square that is 30 feet on each side. What is the distance a catcher has to throw the ball from home to second base (diagonal)?

Show your work and round your answer to the nearest tenth.

The square root of 1800 or 42.2 feet.

200

What is the distance between points B and C? Show your work and round your answer to the nearest tenth.

The square root of 13 or 3.6.

200

Given the following side lengths: 12, 12, 9 Would they form a right triangle? Make sure to show your work!

No, these side lengths would NOT form a right triangle.

300

What is the length of the missing side? 

Show your work and round your answer to the nearest tenth.

a=x

b= 12cm

c=13cm

a= 5 cm

300

During the winter, Mrs. Ribby walks 200 meters west and then 45 meters north to get to school. During the spring she can take a shortcut across a field to save time. What’s the distance between home and school if she can take the shortcut (diagonal).

Show your work and round your answer to the nearest tenth.

If Mrs. Ribby can take the shortcut her walk to school is 205 meters long.

300

What is the distance between points C and A? Show your work and round your answer to the nearest tenth.

The square root of 58 or 7.6.

300

Given the following side lengths: 8, 10, 6 Would they form a right triangle? Make sure to show your work!

Yes, these side lengths would form a right triangle.

400

What is the length of the missing side?

Show your work and round your answer to the nearest tenth.

a = 7cm

b = x

c = 18 cm

b = 16.6 cm

400

A football field is a rectangle, which measures 100 yds long and 53 yds wide. The coach asks players to run from one corner to the other corner diagonally across. What is that distance?

Show your work and round your answer to the nearest tenth.

The diagonal distance is the square root of 12809 yds or 113.2 yd.

400

What is the distance between points A and D? Show your work and round your answer to the nearest tenth.

The square root of 113 or 10.6.

400

Given the following side lengths: 12, 11, 13 Would they form a right triangle? Make sure to show your work!

These side lengths would NOT form a right triangle.
500

What is the length of the missing side? 

Show your work and round your answer to the nearest tenth.

a= x 

b= 9 cm

c= 16 cm

a = 13.2 cm

500

How far from the base of the house do you need to place a 30-foot ladder so that it exactly reaches the top of a 20- foot tall wall?

Show your work and round your answer to the nearest tenth.

The square root of 500 or 22.4 feet away from the wall. 

500

What is the distance between points A and F? Show your work and round your answer to the nearest tenth.

The square root of 153 or 12.4.

500

Given the following side lengths: 36, 48, 60 Would they form a right triangle? Make sure to show your work!

These side lengths would form a right triangle.

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