Question

1. Perimeter of an equilateral triangle is 54 cm. Find its area using heron's formula.​

Answer 1

Step-by-step explanation:

Since the perimeter of the triangle is 54 cm

Therefore its side =54/3 = 18cm

And its area = underoot3/4 * (side) *(side)

=81 underoot3

Now, since the value of under root 3 is 1.732

Therefore, 81 * 1.732 = 140.3 ans

Hope it helps;)

Answer 2

Answer:

140.29cm²

Step-by-step explanation:

$herons formula$

$s = a + b+ c \div 2$

√s(s-a)(s-b)(s-c)

S = 54/2 = 27

S = 27

Area = √27(27-18)(27-18)(27-18)

= 81√3

= 140cm²