Question

The perimeter of an equilateral triangle is 45 cm. Find the length of each side of the equilateral triangle.

Answer 1

Answer:

For the equilateral triangle with perimeter 45, each side is length 15.

- The altitude, when drawn, bisects the base, forming 2 right triangles.

To find the length of the altitude, use the pythagorean theorem. Let A be the length of the altitude that you are looking for:

A%5E2%2B7.5%5E2=15%5E2

Solve for A:

 

A%5E2%2B56.25=225

A%5E2=168.75

highlight%28A=12.99%29

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Answer 2

Answer:

Hence, value of side of equilateral triangle having perimeter 45 cm will be $Side = \frac{Perimeter}{3} = \frac{45}{3}=15\:cm$

Step-by-step explanation:

In context to question asked,

We have to determine the side of the equilateral triangle.

As per question,

We have,

Perimeter of equilateral triangle = 45 cm

As we know that,

Equilateral triangle is that type of triangle whose all sides are equal.

Perimeter is nothing but the sum of length of outer borders of the triangle.

So, for determining the perimeter of equilateral triangle,

We will add all the outer faces of the triangle.

So, we will use the formula $Perimeter = 3 \times sides$ for determining the perimeter of triangle.

So, for determining the side of triangle, we will put the value of perimeter of equilateral triangle in above formula and divide it by 3.

Thus we will get,

$Side = \frac{Perimeter}{3} = \frac{45}{3}=15\:cm$