Question

In the following right triangle, if the sides and become twice longer, what will be the ratio of the perimeter of the triangle to its area?

Answer 1

1:2

Explanation:

Initially, the base and height of a right angle triangle is 12 and 5.

The hypotenuse can be calculated using Pythagoras theorem such that,

`BC=√(12^2+5^2)\\\\BC=h=13`

When sides are doubled,

Base = 24

Height = 10

Hypotenuse = 26

Perimeter of the triangle = 24+10+26 = 60

The area of riangle,

`A=(1)/(2)* 24* 10=120`

Required ration,

`(P)/(A)=(60)/(120)\\\\=(1)/(2)`