Monday

September 22, 2014

September 22, 2014

Posted by **Sholanda** on Monday, May 21, 2012 at 12:57am.

1.Find the area of a triangle with an apothem of 8 inches.

2.Find the area of a square with a radius of 12 inches.

3.Find the area of a pentagon with a hypotenuse of 10 inches.

- Geometry -
**Reiny**, Monday, May 21, 2012 at 8:32am1. To be speaking of an "apothem" of a triangle, the triangle must be equilateral.

The apothem is the distance from the centre (centroid) to a side, and the apothem must be 1/3 of the length of the median

so the median is 24 inches, which makes the height 24 inches.

then by knowing the ratio of sides of the 30-60-90 triangle, the side must be 48/√3

area = (1/2)(48/√3)(24) = 576/√3 square inches

2. We don't speak of a square having a radius.

Did you mean diameter?

if so let each side of square be x

x^2 + x^2 = 12^2

x = √98 =

area = x^2 = 98

3. Again, where does a hypotenuse come from in a pentagon?

Did you mean diagonal?

Find the internal angle. (you should get 108°)

From that you should be able to find all kinds of angles, depending on which lines you sketch.

**Answer this Question**

**Related Questions**

geometry - in order to find the area of a regular hexagon using the formula Area...

Math/Geometry - Can you help me with this? Find the area of each regular polygon...

Geometry - Find the area of the regular polygon with the given radius. The ...

Geometry - Find the area of the regular polygon with the given radius. The ...

Geometry - Find the area of a circle circumscribed about a regular hexagon with ...

Math - Are these correct: 1a) Find the lateral surface area in square inches of ...

Math - 5) A frustrum of a cone has the following dimensions: height = 6 in, ...

Geometry - Find the area of the regular polygon with the given radius. Radius: ...

Math--Area - Find the area of each regular polygon to the nearest tenth. Octagon...

Math - Are these correct 2a) For the cone, find the Lateral Surface Area in ...