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

Practice Questions

Intermediate Geometry › How to find the length of the side of of an acute / obtuse isosceles triangle

Questions

9

1

If a triangle has side lengths of and , which of the following can be a length of the third side?

2

If a triangle has side lengths of and , which of the following could be the length of the third side?

3

A triangle has sides of lengths 14, 18, and 20. Is the triangle scalene or isosceles?

4

Isosceles

Refer to the above triangle. By what statement does it follow that $\overline{AB} \cong\overline{AC}$ ?

5

Isosceles

Figure NOT drawn to scale.

Refer to the above diagram.

True or false: $\overline{AB} \cong \overline{AC}$ .

6

Given: Regular Pentagon with center . Construct segments $\overline{CN}$ and $\overline{CT}$ to form $\bigtriangleup CTN$ .

True or false: $\bigtriangleup CTN$ is an isosceles triangle.

7

Find the perimeter of the triangle below.

8

Given $\Delta ABC$ such that , , , which of the following statements is true?

9

Find the perimeter of the triangle below.

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