Maths-

General

Easy

Question

# Calculate the area of equilateral triangle whose height is 25 cm

Hint:

### Since it’s an equilateral triangle so all angles are equal to 60°.

## The correct answer is: 1.73

### It is given that height, h = 25 cm

Let AB = x

We know that all angles are equal to 60°.

Sin A =

Sin 60° =

Since all sides are equal BC =

We know that Area of triangle =

=

= 208.33

= 360.84 cm^{2} ( ∴ = 1.73 )

NOTE – We can use Pythagoras theorem too. Since perpendicular of an equilateral triangle bisects the side, implies that BD = . So, in triangle ABD

AB^{2} = AD^{2} + BD^{2}

Find x and then use Area of triangle =

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