Question

in a right angled isosceles triangle.if its sides are increased by 75%,then the percentage change its areas?

Answer 1

Solution :-

In an isosceles triangle, there are two sides with equal length.

Let the two sides with equal length of the original triangle before the increase be a and b and their length is 10 cm each.

Area of an isosceles triangle = 1/2*base*height

⇒ 1/2*10*10

⇒ 100/2

⇒ 50 cm²

Now, length of each of these two sides after the increase = 17.5 cm

Increased area = 1/2*17.5*17.5

⇒ 306.25/2

⇒ 153.125 cm²

Percentage increase in area = (Change in area*100)/ Original area

⇒ [(153.125 - 50)*100]/50

⇒ (103.125*100)/50 

⇒ 10312.5/50

⇒ 206.25 %

So, if the sides are increased by 75 %, then the area will increase by 206.25 %.

Answer.