Question

A side of an equilateral triangle ABC is 4 cm .find the side of an equilateral triangle PQR whose area is double the area of triangle ABC .

Answer 1

Answer:

Step-by-step explanation: GIVEN:- Side of equilateral triangle ABC = 4cm and area of triangle PQR is double of area of triangle ABC.

TO FIND:- side of triangle PQR.

SOLUTION:- since, area of triangle PQR is double of area of triangle ABC.

=> square rt. 3/4×4^2 = 2square rt. 3/4×4^2.

=> area of triangle ABC = 4square rt.3 cm^2

=> area of triangle PQR = 8sqrt.3 cm^2

=> side of triangle PQR = 2sqrt2 cm