what are the values of a and b?

- anonymous

what are the values of a and b?

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- schrodinger

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- anonymous

##### 1 Attachment

- welshfella

use the property of similar triangles - their corresponding sides are in the same ratio

- welshfella

the large triangle and the smaller one containing the sides a and b are similar

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## More answers

- anonymous

So a would be 18?

- welshfella

how did you get that?

- Directrix

The triangles are similar by the AA Postulate.
It appears to me that we are missing a third numerical measure that is needed to solve the problem.
@Mikayla_Rose Is the outer, large triangle given to be a right triangle? |dw:1444254138067:dw|

- welshfella

you find the corresponding sides by looking at the equal angles - then use the sides opposite these angles.

- anonymous

nevermind i think its 8 because that is simplifed form of 32

- welshfella

yes @directrix - I have assumed that that !

- Directrix

I'd like to see the equation(s) you two are using. I am not seeing it.
Yes, if that angle I mentioned is a right angle, the problem can be solved. But, to assume that it is a right angle is incorrect.
Of course, the diagrams in these posted problems are frequently incomplete.

- welshfella

I agree we should not really assume its a right angle but I cant see how we can solve this unless we make that assumption

- anonymous

I dont know how to get the answer, that is why i posted this question to get instructions.

- welshfella

can you see why (assuming the big triangle is right angled whay the 2 triangles are similar
- similar triangles have all 3 angles equal

- Directrix

We can't give instructions when the diagram is incomplete.

- anonymous

ok....
How do i complete the diagram?

- welshfella

it will be complete if the big triangle has been marked as right-angled.

- welshfella

- as in directrix's drawing.

- welshfella

do you see what i mean?

- welshfella

|dw:1444254684623:dw|

- welshfella

|dw:1444254814673:dw|

- welshfella

|dw:1444254888518:dw|

- anonymous

okay what is the next step?

- welshfella

triangles ADC and BDC are similar ( by AA postulate)
therefore we can write
2 / b = b / (32+2)
2 / b = b / 34
solve for b

- welshfella

can you find b?

- anonymous

im working on it right now

- anonymous

b= 2 sqr root 17, -2 sqr root 17

- welshfella

well it has to be the positive value , of course
now you can find the value of a by applying the pythagoras theorem to the small triangle.

- welshfella

a^2 = (2 sqrt17)^2 - 2^2

- welshfella

ok?

- anonymous

i got a= sqr root 30?

- welshfella

Oh - i just realised - angle ADC must be a right-angle because the 2 angles marked are equal and angle C is common.

- welshfella

No
a^2 = 68 - 4 = 64
a = 8

- anonymous

oh okay i got it thanks a whole lot for helping me!

- welshfella

yw

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