Question Icon

Hotmath Practice Problems

book image
Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Radical Expressions and Radical EquationsSection:The Pythagorean Theorem
 

Problem: 1

Find the length of the missing side in the figure and round your result to the nearest hundredth.

 

Problem: 3

Find the length of the missing side in the figure and round your result to the nearest hundredth.

 

Problem: 5

Find the length of the missing side in the figure and round your result to the nearest hundredth.

 

Problem: 7

If c is the measure of the hypotenuse of a right triangle, find the missing measure and round your result to the nearest hundredth.

a = 13, c = 63, b = ?

 

Problem: 9

Compute the length of the third side of the right triangle shown.

 

Problem: 11

Compute the length of the third side of the right triangle shown.

 

Problem: 13

Compute the lengths of the sides of the right triangle shown.

 

Problem: 15

Compute the lengths of the sides of the right triangle shown.

 

Problem: 17

If c is the hypotenuse and a and b are the legs of a right triangle, find the value of c for a right triangle with a = 15, and b = 20.

 

Problem: 19

If c is the hypotenuse and a and b are the legs of a right triangle, find the value of b for a right triangle with a = 8, and c = 17.

 

Problem: 21

If c is the hypotenuse and a and b are the legs of a right triangle, find the value of b for a right triangle with a = 1, and c = √ 7.

 

Problem: 23

If c is the hypotenuse and a and b are the legs of a right triangle, find the value of a for a right triangle with c = 11, and b = 4 √ 7.

 

Problem: 25

Determine, giving reasons, whether the given lengths are the sides of a right triangle.

12, 16, and 20.

 

Problem: 27

Determine, giving reasons, whether the given lengths are the sides of a right triangle.

7, 9, and 12.

 

Problem: 29

Determine, giving reasons, whether 24, 32, and 40 are the sides of a right triangle.

 

Problem: 31

Determine, giving reasons, whether 10, 24, and 26 are the sides of a right triangle.

 

Problem: 33

Determine, giving reasons, whether 19.8, 4, and 20.2 are sides of a right triangle.

 

Problem: 35

Find the side length of an isosceles right triangle with hypotenuse length c = 80.

 

Problem: 37

Find the perimeter of a right triangle in which the longer leg is 8 cm longer than 8 times the shorter leg, and also 1 cm shorter than the hypotenuse.

 

Problem: 39

Will a 1m – long stick fit into a rectangular box with length = 60 cm, width = 45 cm, and height = 72 cm?