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how tall is the front of the house?

what i know is that the A to C is 25 ft

that is the base of the house

|dw:1327657181669:dw|

how you write in the computer so i can do the drawing too so you can see it?

below the textbox there is a "draw" button

: )

to solve for x, we need either the angle the roof slopes or the length of the roof overhang

|dw:1327657374136:dw|

that help????

yes :)

where is front of house, A or C ?

|dw:1327657781695:dw|
set up proportion using corresponding sides
x/10 = 10/(25-x)

is that all the answer, ok thanks

well the goal is to solve for x....cross-multiply...set equal to 0

the point is that i am supposed to use the formular corollary1 and 2 to get the answer

we are assuming triangle ABC is a right triangle ?

yes

i used the corollary when setting up the proportion

I think i made a mistake it should be like this |dw:1327658765372:dw|

oops i meant corresponding sides not congruent

yes that is exactly how i am doing ok could you continue please

then i think should be x2

x should be from a to c

correct

oh that was from your 1st picture

yeap

so your answer is no correct?

haha i'm not sure, so they want the length AC from your last pic?

the x is a to c

yes

no the x i solved for was AD in first one, BD in 2nd one

and a to d

let me see

|dw:1327659555813:dw|

just use Pythagorean theorem to get AC

that is french haha

no i think he was Greek. :)
right triangles....a^2 +b^2 = c^2

ok I have to go I really appreciate your help and patience : ) and of course the answer

AC = 5sqrt(5)