SOLUTION: in an acute Triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB= 15 in. , AC= 18 in. , and BD = 10 in.

Algebra ->  Triangles -> SOLUTION: in an acute Triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB= 15 in. , AC= 18 in. , and BD = 10 in.      Log On


   



Question 813871: in an acute Triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB= 15 in. , AC= 18 in. , and BD = 10 in.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
15*2=10^2+d^2
d^2=125
d = 5 sqrt(5)
d = 11.180 AD
18^2=125+f^2
q^2 = 199
q = sqrt(199)
q = 14.107 CD
area =1/2 *24.107*11.180
area of ABC = 134.758 sq in