How to find the height of of an acute / obtuse isosceles triangle

Practice Questions

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

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1

An isosceles triangle has a perimeter of . If the base of the triangle is two less than two times the length of each leg, what is the height of the triangle?

2

An isosceles triangle has a perimeter of . If the base of the triangle is less than three times the length of a leg, what is the height of the triangle?

3

An isosceles triangle has a perimeter of . If the length of the base is one less than twice the length of a leg, what is the height of the triangle?

4

An isosceles triangle has a perimeter of . If the length of the base is fourteen less than three times the length of a leg, what is the height of the triangle?

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 perimeter of . If the length of the base is seven more than one-seventh of the length of a leg, what is the height of the triangle?

7

An isosceles triangle has a perimeter of . If the length of the base is two less than one-third of the length of a leg, what is the height of the triangle?

8

An isosceles triangle has a perimeter of . If the length of the base is ten less than twice the length of a leg, what is the height of the triangle?

9

An isosceles triangle has a perimeter of . If the length of the base is four more than one-third of the length of a leg, what is the height of the triangle?

10

The perimeter of an isosceles triangle is . If the length of the base is five more than one-fourth the length of a leg, what is the height of the triangle?

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