Question

the triangle have sides 17 ,12 and 25 find the height by herons formula​

Answer 1

Answer:

Step-by-step explanation:

Triangle

Solve for height

hb=15

a Side

17

b Base

12

c Side

25

Unit Conversion:

Using the formulas

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=﹣174+2·(17·12)2+2·(17·25)2﹣124+2·(12·25)2﹣254

2·12=15