Question

triangle pqr is an equilateral triangle if PQ= 10 centimetre find the area of triangle pqr using heron's formula​

Answer 1

Step-by-step explanation:

triangle pqr is an equilateral triangle if PQ= 10 centimetre find the area of tri thanks

Answer 2

Since, triangle PQR is an equilateral Triangle,

PQ = QR = PR

Using heron's formula,

Ar(triangle) = √s(s-a)(s-b)(s-c)

where s = a+b+c/2

In Triangle PQR,

s = 10 + 10 + 10/2 = 30/2 = 15

ar(triangle PQR) = √15(15-10)(15-10)(15-10)

= √15 × 5 × 5 × 5

= √1875

= 25√3 cm²