Acute / Obtuse Isosceles Triangles

Practice Questions

PSAT Math › Acute / Obtuse Isosceles Triangles

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1

The base angle of an isosceles triangle is 15 less than three times the vertex angle. What is the vertex angle?

2

The base angle of an isosceles triangle is 15 less than three times the vertex angle. What is the vertex angle?

3

The base angle of an isosceles triangle is five more than twice the vertex angle. What is the base angle?

4

The base angle of an isosceles triangle is five more than twice the vertex angle. What is the base angle?

5

An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?

6

An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?

7

Two sides of an isosceles triangle are 20 and 30. What is the difference of the largest and the smallest possible perimeters?

8

Two sides of an isosceles triangle are 20 and 30. What is the difference of the largest and the smallest possible perimeters?

9

Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT

10

Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT

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