How to find the area of an equilateral triangle

Practice Questions

Intermediate Geometry › How to find the area of an equilateral triangle

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1

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.

2

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.

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

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.

5

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

2

Find the area of the entire figure.

6

An equilateral triangle has sides of length 6cm. If the height of the triangle is 4.5cm what is the area of the triangle?

7

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

2

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

8

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

3

Find the area of the entire figure.

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.

3

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

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