Equilateral Triangles

Practice Questions

Intermediate Geometry › Equilateral Triangles

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1

An equilateral triangle is placed together with a semicircle as shown by the figure below.

1

Find the perimeter of the figure.

2

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

1

Find the perimeter of the shape.

3

A circle is placed in an equilateral triangle as shown by the figure.

1

If the radius of the circle is , what is the area of the shaded region?

4

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

1

Find the area of the entire figure.

5

Triangle

The height of the triangle is feet.

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

6

Equilateral

Refer to the above diagram. has perimeter 56.

True or false:

7

A circle with a radius of is inscribed in an equilateral triangle with side lengths of as shown in the figure below.

1

Find the area of the shaded region.

8

Equilateral

Refer to the above diagram. has perimeter 56.

True or false:

9

A circle with a radius of is inscribed in an equilateral triangle with side lengths of as shown in the figure below.

1

Find the area of the shaded region.

10

A circle is placed in an equilateral triangle as shown by the figure.

1

If the radius of the circle is , what is the area of the shaded region?

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