If the area of the equilateral triangle is cm2, find its height.

Q13 of 69 Page 238

If the area of the equilateral triangle is cm², find its height.

Let us assume a be the side of the equilateral triangle

We know that,

Area of an equilateral triangle = sq units

It is given that,

Area of the equilateral triangle = 81 cm²

81 cm² = a²

a² = = 324

a = = 18 cm

Height of an equilateral triangle = a

Since, the value of a is 18 cm

Therefore,

Height = × 18

= 9 cm

The perimeter of an isosceles triangle is 42cm and its base is times, each of the equal sides.

Find:

(i) The length of each side of the triangle

(ii) The area of the triangle

(iii) The height of the triangle.

If the area of the equilateral triangle is cm², find its perimeter.

The base of a right – angles triangle measures 48cm and its hypotenuse measures 50cm. Find the area of the triangle.

Each side of an equilateral triangle measures 8cm. Find:

(i) The area of the triangle, correct to 2 places of decimal

(ii) The height of the triangle, correct to 2 places of decimal.

Take =1.732