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Let ABC be the equilateral triangle,

and PC be the line joining the mid point of A and C.

We know that equilateral triangle has equal angles which means

Now,

in triangle AHC

Sin(THETA) = AH/AC

That is...

Sin(60) = (7root3)/AC

or AC = (7root3)/Sin(60)

AC=14

Perimeter of equilateral triangle ABC = 3 x Side

= 3 x 14

= 42

Posted on Sep 03, 2010

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Posted on Jan 02, 2017

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you need at least 2 measurement or 2 angles

Jun 01, 2016 | Office Equipment & Supplies

Take the measurement of one side and multiply it by 3.

Dec 05, 2014 | Mathsoft StudyWorks! Middle School Deluxe...

15 3/4 =3*S (S the length of a side)

S= (15 3/4) / 3 = =5 1/4

Please use improper fractions. It is safer.

S= (15 3/4) / 3 = =5 1/4

Please use improper fractions. It is safer.

Sep 26, 2014 | Computers & Internet

The length of each side is 5 1/4 feet.

Sep 26, 2014 | Computers & Internet

I assume the length of a side is 16 in, and the height of the prism is 23 inches.

**Volume of a prism is V_prism=(Area of base)*(height of prism)**

Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by**8*SQRT(3)**.

Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.

Area of base =6*16*(8*SQRT(3))/2 sq in

**Volume =6*8*8*23*SQRT(3) cubic inches**

Calculate the value in cubic inches and convert to gallons: I leave that task to you.

Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by

Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.

Area of base =6*16*(8*SQRT(3))/2 sq in

Calculate the value in cubic inches and convert to gallons: I leave that task to you.

May 12, 2014 | Office Equipment & Supplies

Calculate the area of the base (you need the measure of the side) in sq. inches and multiply by the height.

May 04, 2014 | Casio FX-300MS Calculator

A contradiction is what. An equilateral triangle has 3 equal sides, and therefore equal angles. An isosceles triangle has 2 equal sides and one shorter or longer..

Apr 22, 2014 | Computers & Internet

Here is to get you started. To increase the size of the image do a CTRL Plus (+) in your browser.

You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of** (1/2)*SQRT(203) **or about 7.1239 cm

You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found),**the measure of the second leg is (1/3) the altitude** **of the equilateral triangle** that forms the base. You should find (1/3) m MH= (1/3)* **(11/2)*SQRT(3)**

1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).

2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).

3. Total area = area of base + lateral area.

4. Volume= (1/3)(Area of base)* (height of pyramid)

If you can see the details on the screen capture below, fine, Press CTRL + in your browser to increase the size.

You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of

You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found),

1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).

2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).

3. Total area = area of base + lateral area.

4. Volume= (1/3)(Area of base)* (height of pyramid)

If you can see the details on the screen capture below, fine, Press CTRL + in your browser to increase the size.

Mar 29, 2014 | Office Equipment & Supplies

Well, just multiply 7.5 by 3. Solution: 22.5

Oct 06, 2012 | Mathsoft StudyWorks! Middle School Deluxe...

Assuming you are specifying Area = sqrt(243/4) =
7.79422
Then the sides of the equilateral triangle are: 4.24264

Source: http://www.calculatorsoup.com/calculators/geometry-plane/triangles-equilateral.php

Best, Hunter

Source: http://www.calculatorsoup.com/calculators/geometry-plane/triangles-equilateral.php

Best, Hunter

Mar 02, 2011 | Google Chrome

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