Question

Find the area of an equilateral triangle if its perimeter is 36cm​

Answer 1

Answer:

Perimeter =3x=36cm

x=12cm

In △ABD by pythagoras theorem

x 2 =( 2x ) 2 +AD 2AD 2= 43x 2

AD= 23x

height = 23 ×12=6 3area = 21 ×base×height

21 ×x× 23 x= 43 x 2= 43 ×(12) 2

Area =36

3 cm 2

Answer 2

GIVEN:

• perimeter of equilateral triangle is 36cm.

To FIND:

• area of an equilateral triangle.

SOLUTION:

• perimeter of equilateral triangle is 36cm.
• 3a = 36
• a = 36/ 3
• a= 12cm

Area of equilateral triangle

= √3a² / 4

= √3 × 12× 12.

4

= 36√3 cm²

Hence, Area of equilateral triangle is 36√3cm².

HOPE IT HELPS !!!!