Question

The perimeter of a triangle is 90cm. The longest side exceeds the shortest by 16cm. The sum of the longest side and shortest side is twice the length of the other side. Find the length of each side.

Answer 1

Answer:

Step-by-step explanation:

let shortest side be x=a

so, longest side be x + 16=b

other side be y=c

acc. to the ques.,

x+x+16= 2y

2x-2y= -16

x-y= -8

y=x+8                                - (i)

a+b+c=90                              

x+x+16+x+8=90                          from (i)

3x=66

x=22

a=22, b=38, c=30