Question

in a right angled triangle ABC angle b 90 length of the median BD drawn on hypotenuse is 12 cm then AC is ??​

Answer 1

Answer:

108

Step-by-step explanation:

Take AB = c BC = a CA = b. Now the basic thing is midpoint of hypotenuse is circumcentre i.e. M then AM = BM = CM which is b/2=√117 then b²=4(117). Here area of triangle is ac/2 and we are given a+c=30 and a²+c²=b²=4(117) then ( a+c )²=900=4(225) then a²+c²+2ac=4(225). Hence 2ac=4(108) then area ac/2=108