Triangles

Practice Questions

Intermediate Geometry › Triangles

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1

For the triangle below, the perimeter is . Find the value of .

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2

An acute isosceles triangle has an area of square units and a base with length . Find the perimeter of this triangle.

3

Triangle

The height of the triangle is feet.

What is the length of the base of the triangle to the nearest tenth?

4

An equilateral triangle is placed on top of a square as shown by the figure below.

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Find the perimeter of the shape.

5

In ΔABC: a = 10, c = 15, and B = 50°.

Find b (to the nearest tenth).

6

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?

7

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?

8

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

9

is an equilateral triangle; is an equiangular triangle.

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

10

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

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

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