Question

Isosceles triangle, perimeter if the perimeter of isosceles triangle abc is 20 and the length of side ac is 8, what is one possible value for the length of side bc?

Answer 1

by that way, BC=6 hope it helps

Answer 2

The perimeter = 20 and AC = 8

Now as it is not mentioned which sides are equal of the isosceles triangle ABC,

We have two possible situations.

1)

If AC is the base

In that case AB = BC

Now AC = 8, AB = x , BC = x

So x + x + 8 = 20

2x + 8 = 20

2x = 12

x = 6

AB = BC = 6

2)

IF AC is not the base,

Then

AC = BC or AC = AB

So BC = 8 or AB = 8

If AB = AC = 8

Then

BC + 8 + 8 = 20

BC = 4

So there are two possible lengths of BC

Either it is BC = 8 or BC = 6 or BC = 4

The figure is attached for your reference.