Question

the lenghth of sides of a triangle are 35,54 and 61 cms. Find the length of its longest altitude​

Answer 1

Answer:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forhb

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣354+2·(35·54)2+2·(35·61)2﹣544+2·(54·61)2﹣614

2·54≈34.78328