Question

a =
a.) 4

b.) 6

c.)9

Answer 1

I think it's a multistep process to get to a on this one. First figure out c. Can you find side c using pythagorean theorem?

Answer 2

these are similar triangles.

Answer 3

i don't know how to use the Pythagorean theorem.

Answer 4

If you look at the small right triangle on the left side of the diagram...
6^2 + 4^2 = c^2
Solve that for c and what do you get?

Answer 5

Nevermind...i just figured out an easier way.

Answer 6

I get 9, but it's really hard to explain.

Answer 7

Triangles ADC, BAC and BDA are similar.

If ADC and BDA are similar, then
AD/DC = BD/DA
6/a = 4/6
4a = 6*6 = 36
a = 36/4 = 9

Answer 8

thankyou so much your the best! @ranga :)

Answer 9

You are welcome. If you have ant questions how those three triangles are similar do feel free to ask.

Answer 10

*any*

Answer 11

okay @ranga :)