Acute / Obtuse Isosceles Triangles

Practice Questions

Intermediate Geometry › Acute / Obtuse Isosceles Triangles

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1

is an equilateral triangle; is an equiangular triangle.

True or false: From the given information, it follows that .

2

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?

3

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

4

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?

5

An isosceles triangle is placed in a circle as shown by the figure below.

1

If diameter of the circle is , find the area of the shaded region.

6

is an equilateral triangle; is an equiangular triangle.

True or false: From the given information, it follows that .

7

An isosceles triangle is placed in a circle as shown by the figure below.

1

If diameter of the circle is , find the area of the shaded region.

8

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

9

An isosceles triangle is placed in a circle as shown by the figure below.

1

If the diameter of the circle is , find the area of the shaded region.

10

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?

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