Question

The side of the equilateral triangle abc is 12 cm and the area of another equilateral triangle par is 16 times the area of triangle abc. Then the side of triangle pqr is??

Answer 1

Answer:

48cm

Step-by-step explanation:

let sides of equilateral triangle ABC be a

a=12cm

area

√3/4×a²

√3/4×12×12

36√3 cm²

as given that area of equilateral triangle PAR is 16 × area of equilateral triangle ABC

area of equilateral triangle PAR

16×36√3

576√3 cm²

compare with formula

$\sqrt{3} \div 4 \times a {}^{2} = 576 \sqrt{3}$

$a {}^{2} \div 4 = 576$

$a {}^{2} = 2304$

$a = 48$