The lengths of the sides of a triangle are 3x, 5x – 12, and x + 20. Find the value of x so that the triangle is isosceles.

Question

Can somebody show me a step-by-step process of how to get the answer(s) please? I need it:) I also saw that x could = 8, 10, and 6. Is this true? How so? Thanks!

Answer 1

Depends which are the two equal sides

case1: 5x - 12 = 3x
2x = 12
x = 6
then the sides are 18, 18 and 26

case2: 3x = x+20
2x = 20
x = 10
then the sides are 30, 30 and 38

case3: 5x-12 = x+20
4x = 32
x = 8
then the sides are 24, 28 and 28

Answer 2

I don't understand how this problem can have three different answers. These were the answers i go and i don't see anything else that could relate any of the angles together. So would all of them be correct or just one??

Answer 3

Any two side are equal in isoscles triangle

5x-12=x+20
4x=32
x=8
5x-12=28
x+20=28
5x=40
28,28,40
for those still there looking for it

Answer 4

The lengths of the sides of a triangle are
3
x
,

5
x

−

12
,

and

x

+

20
.
Find the value of x so that the triangle is isosceles.

Answer 5

That is Mrs.LG

Answer 6

I’m confused, Is their one singular answer or is it the multiple answers? I got x=8, x=10, & x=6 but i don't know which one to use. Plus we don't have enough information to assume which sides are the congruent ones, so do I put all three of these as the answer?

Answer 7

all the answers are making me even more confused

Answer 8

i have her too lol

Answer 9

im stuck