The triangle shown in subdivided into two additional triangles. All three triangles are similar. Complete and solve the proportion. Simplify radical answers. can some one help???

Question

The triangle shown in subdivided into two additional triangles. All three triangles are similar. Complete and solve the proportion. Simplify radical answers.  can some one help???

anonymous · Answer

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anonymous · Answer

|dw:1371517773904:dw|

anonymous · Answer

the proportion is 4/h = ?/9

whpalmer4 · Answer

$$\frac{4}{h} = \frac{h}{9}$$

anonymous · Answer

ik i multiply 4 and 9 but what do i do after that

whpalmer4 · Answer

you can come up with that proportion in at least two different ways:  

1) side length 4 to side length h on same triangle
2) side length 4 to side length h on other triangle

anonymous · Answer

and since they're all 90 degree triangles, you can determine the 3rd side of the 2 smaller triangles 
and use those to determine the missing 2 sides of the larger triangle by using proportions

whpalmer4 · Answer

cross-multiply:
$$4*9 = h*h$$$$36=h^2$$Can you find $h$?

anonymous · Answer

its 6 thankyou

whpalmer4 · Answer

Yes, the value of h is 6.  Now can you find the other triangle sides?

anonymous · Answer

all i needed was h but thakyou though

whpalmer4 · Answer

yes, but can you do it? Maybe you don't need to this time, but there will be a problem in your future where you do :-)

anonymous · Answer

well maybe i guess
 lol