ACT Math - Acute / Obtuse Isosceles Triangles

1

What is the height of an isosceles triangle which has a base of and an area of ?

2

What is the height of an isosceles triangle which has a base of and an area of ?

3

The base angle of an isosceles triangle is thirteen more than three times the vertex angle. What is the difference between the vertex angle and the base angle?

4

The base angle of an isosceles triangle is thirteen more than three times the vertex angle. What is the difference between the vertex angle and the base angle?

5

An isosceles triangle has a base of $12\ cm$ and an area of $42\ cm^{2}$ . What must be the height of this triangle?

6

An isosceles triangle has a base of $12\ cm$ and an area of $42\ cm^{2}$ . What must be the height of this triangle?

7

In the standard coordinate plane, the points and form two vertices of an isosceles triangle. Which of the following points could be the third vertex?

8

Triangle FGH has equal lengths for FG and GH; what is the measure of ∠F, if ∠G measures 40 degrees?

9

In the standard coordinate plane, the points and form two vertices of an isosceles triangle. Which of the following points could be the third vertex?

10

Triangle FGH has equal lengths for FG and GH; what is the measure of ∠F, if ∠G measures 40 degrees?

Acute / Obtuse Isosceles Triangles

Practice Questions