Question

The height of a equilateral triangle is 15cm if its perimeter is 36cm find its area

Answer 1

Answer:

For an equilateral triangle, all sides are equal.

∴ Length of one side = Perimeter / 3 = 36/3 cm = 12 cm.

Now, area of triangle = Base * Height / 2.

Here, base = 12 cm and height = 15 cm.

∴ Area = 12 * 15 / 2 sq.cm. = 90 sq.cm.

Answer 2

⠀⠀⠀ ⠀❐ ...Question... ❐ ⠀⠀

⠀⠀⠀The height of a equilateral triangle is 15cm if its perimeter is 36cm find its area...

⠀⠀⠀⠀⠀ ❐ ...Given... ❐⠀⠀ ⠀⠀

⠀The height of equilateral triangle = 15cm

⠀The perimeter of equilateral triangle= 36cm⠀

⠀⠀⠀⠀⠀ ❐ ...To find... ❐⠀ ⠀

⠀The area of the triangle...

⠀⠀⠀⠀ ❐ ...SoLution... ❐⠀⠀

We know that...

The all sides of an equilateral triangle are equal...

• ⠀⠀Perimeter = sum of all sides

So...

• 1 side = 36 / 3

• 1 side = 12cm...

Now...

• Area of triangle = 1/2 × base × height

• Area of equilateral triangle = 1/2 × 12 × 15

• ⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀⠀⠀⠀⠀ ⠀ = 180 / 2

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀ ⠀⠀⠀⠀ ⠀ = 90 cm²

Therefore, area if equilateral triangle will be 90cm²...⠀⠀ ⠀