How to find the length of the side of an acute / obtuse triangle

Practice Questions

High School Math › How to find the length of the side of an acute / obtuse triangle

Questions
10
1

Two sides of a triangle are 20 and 32. Which of the following CANNOT be the third side of this triangle.

2

Two sides of a triangle have lengths 4 and 7. Which of the following represents the set of all possible lengths of the third side, x?

3

In \Delta ABC the length of AB is 15 and the length of side AC is 5. What is the least possible integer length of side BC?

4

A triangle has a perimeter of 36 inches, and one side that is 12 inches long. The lengths of the other two sides have a ratio of 3:5. What is the length of the longest side of the triangle?

5

The lengths of two sides of a triangle are 9 and 7. Which of the following could be the length of the third side?

6

If 2 sides of the triangle are have lengths equal to 8 and 14, what is one possible length of the third side?

7

A triangle has sides of length 8, 13, and L. Which of the following cannot equal L?

8

The lengths of a triangle are 8, 12, and x. Which of the following inequalities shows all of the possible values of x?

9

A triangle has sides of length 5, 7, and x. Which of the following can NOT be a value of x?

10

If two sides of a triangle have lengths 8 and 10, what could the length of the third side NOT be?

Return to subject