Question

WILL GIVE MEDAL IF HELP!!!!
so there's a triangle. The width says 5. The other two sides are x-4 and x-5. The next triangle's width is 16. The other two sides are 10 and x-10. It's asking me to find the value of x so that the triangles can have the same perimeter. Idk what to do! HELP!!!!

Answer 1

well to have the same perimeters

triangle 1

\[P_{tri~1} = 5 + x - 4 + x - 5\]

you need to simplify this

triangle 2

\[P_{tri ~2} = 16 + 10 + x - 10\]

simplify this

then its

\[P_{tri~1} = P_{tri~2}\]

so let the 2 perimeter equations equal each other and solve for x

Answer 2

Idk how to do it😢

Answer 3

ok.. can you simplify the 1st triangle perimeter

P = 5 + x - 4 + x - 5

Answer 4

Okay so I know x are like term so...

Answer 5

It'll be 2x

Answer 6

Right?

Answer 7

almost

P = 2x - 4

now simplify triangle 2

Answer 8

Ok

Answer 9

16+x

Answer 10

great so now it says the perimeters need to be the same... which means equal

so

2x - 4 = x + 16

now just solve for x

hope it helps

Answer 11

Then it'll be 2x-4=16-x

Answer 12

Tysm