## katlin95 Group Title Use the Triangle Proportionality Theorem to solve for x. A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5 one year ago one year ago

1. katlin95 Group Title

2. Kuoministers Group Title

4/6=6/(6+x)

3. Kuoministers Group Title

just work out what x equals and thart is your answe

4. mathstudent55 Group Title

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.

5. katlin95 Group Title

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

6. Kuoministers Group Title

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

7. mathstudent55 Group Title

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.

8. mathstudent55 Group Title

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

9. katlin95 Group Title

so should I do 4*6=2*x

10. Kuoministers Group Title

$\huge\frac{ 4 }{ 6 } = \frac{ 6 }{ 6 + x }$

11. katlin95 Group Title

I got x=3

12. Kuoministers Group Title

Now we cross multiply and divide everything by 4 $\huge4(6 + x) = 36$ $\huge6 + x = 9$ now find x

13. mathstudent55 Group Title

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14. Kuoministers Group Title

both ways give you x=3 so its your choice to see which way you liked better.

15. Kuoministers Group Title

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16. katlin95 Group Title

HAHA cool!