Question

Help find the value of x? (figure attached) MEDAL!

Answer 1

@aum can you help me?

Answer 2

A line parallel to the base meets the other two sides of the triangle.
Therefore, x / (x+5) = (x-2) / (x+1)

Solve for x.

Cross multiply, equate and solve for x.

Answer 3

how would i start that equation? by adding the like terms?

Answer 4

@aum

Answer 5

\[
\Large \frac {x}{x+5} = \frac {x-2}{x+1} \\
\text{Cross Multiply:} \\
x(x+1) = (x-2)(x+5) \\
x^2 + x = x^2 + 5x - 2x - 10
\]
Can you simplify and solve for x?

Answer 6

x=5?

Answer 7

@aum

Answer 8

is that correct?

Answer 9

:P

Answer 10

do you know if im correct?

Answer 11

i would assume yes considering that @aum is the geinus

Answer 12

yup 5 is correct!! thank you guys!

Answer 13

do i get medal :P