Question

ABC is a triangle whose three sides are different. Its perimeter is 20 cm. When the longest side of the triangle is shortened by 2 cm, an isosceles triangle is formed. If that side is further shortened by 3 cm, another isosceles triangle is formed. Find the lengths of the sides of the original triangle ABC.

@Peter14 @satellite73

Answer 1

try to express the conditions as a system of equations. what do you have so far?

Answer 2

let x cm be the length of the longest side.

(x-2)+(x-3)+x=20

i think it's wrong..

Answer 3

but my answer is wrong..

Answer 4

not quite

Answer 5

o.O

Answer 6

"if that side is further shortened by 3 cm"

Answer 7

sorry for missing that the first time

Answer 8

ohh!!!

Answer 9

(x-2)+(x-2-3)+x=20

Answer 10

x=9

Answer 11

yep

Answer 12

then the second longest side is 9-2=7cm

Answer 13

the shortest side is 9-2-3=4cm

Answer 14

yep

Answer 15

thanks