The height of an equilateral triangle measures 9 cm. Find its area, correct to 2 decimal places. Take =1.732.

Let us assume a be the side of the equilateral triangle

We know that,

Height of an equilateral triangle = a units

Height 0f the equilateral triangle = 9 cm (Given)

= (Rationalizing the denominator)

=

= 6

Base of the triangle =

We know that,

Area of triangle =

= × 6 × 9

= 27

= 27 × 1.732

= 46.76 cm² (Up to 2 decimal places)