Question

Use the Triangle Proportionality Theorem to solve for x.




A.

x = 2





B.

x = 2.5





C.

x = 3





D.

x = 3.5

Answer 1

4/6=6/(6+x)

Answer 2

just work out what x equals and thart is your answe

Answer 3

The two triangles are similar, so their corresponding sides are proportional.
That means 4 is to 2 as 4 + 2 is to 6 + x
or as an equation,
4/2 = (4+ 2)/(6 + x)
Cross multiply and solve for x.

Answer 4

how do i croos multiply? could you five me the solution?

Answer 5

@mathstudent55 wouldnt it be 4/6 not 4/2?
Because its 4 over the whole length of the side which is 6? 4+2

Answer 6

You are absolutely correct.
Let me do it again.
The two triangles are similar, so their corresponding sides are proportional.
That means 4 is to 6 as 4 + 2 is to 6 + x
or as an equation,
4/6 = (4+ 2)/(6 + x)
Cross multiply and solve for x.

Answer 7

Interstingly enough, this simpler proportion also works:
4/2 = 6/x
because the segments measuring 2 and x are also in the same ratio as the sides measuring 4 and 6 and the sides measuring 4 + 2 and 6 + x

Answer 8

so should I do 4*6=2*x

Answer 9

\[\huge\frac{ 4 }{ 6 } = \frac{ 6 }{ 6 + x }\]

Answer 10

I got x=3

Answer 11

Now we cross multiply and divide everything by 4

\[\huge4(6 + x) = 36\]
\[\huge6 + x = 9\]
now find x