Question

3. Solve the following questions : (3 marks each)
(1) A side of an equilateral triangle ABC is 4 cm.
Find the side of an equilateral triangle POR
whose area is double the area of ABC.
Solution :​

Answer 1

$4 \sqrt{2}$

Step-by-step explanation:

let the side of triangel POR be a

area of triangle ABC=root3/4×a²

=root3/4×4×4

=4root3

a/q

area of trangle POR is double the area of trangle ABC

2(area of triangel ABC)=area of triangle POS

2(4root3)=root3/4×a²

8root3=root3/4×a²

32=a²

root32=a

4root2=a