Question

1. If each side of a triangle is halved, then find the percentage decrease in the area
of the triangle​

Answer 1

Answer:

75%decrease

Step-by-step explanation:

Area of triangle=A=square root of [s(s-a)(s-b)(s-c) where, 2s=a+b+c

Each side is halved

s'=s/2

(s'-a')=(s-a)/2

(s'-b')=(s-b)/2

(s'-c')=(s-c)/2

Now,areqA'= square root of [s(s-a)(s-b)(s-c)/16]

= A/4

change in area=3/4A

=75%decrease

Hence,the percentage decreasein the area of the triangle is =75%.

hope you will understand