Question

If each side of a triangle is doubled then find the ratio of the area of
the new triangle thus formed and the given triangle.​

Answer 1

• Answer:

4:1

explanation:Let sides of triangle be a;b;c

then perimeter will be =a+b+c let=s

area s√(s-a)(s-b)(s-c)

let new side be 2a;2b;2c

perimeter will be=2a+2b+2c=2s

area s√(2s-2a)(2s-2b)(2s-2c)

=4√s(s-a)(s-b)(s-c)

=4×area of triangle

hence ratio Will be 4:1