Question

What is the length of the altitude to the longest side of a triangle, if the lengths

Answer 1

Answer:

hb ≈ 7.06cm

Step-by-step explanation:

Using the formulas:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for hb

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84

2·17

≈7.05882cm