The incircle of radius 4 of a triangle ABC touches the side BC at D. If BD=6, DC=8, then what is the area of triangle ABC?
The answer is 84 don't have any time for an explanation today. Hope this is correct.
Yes, it is 84!
Find angles A, B, and C
Find side lengths
Use Heron's formula to calculate the area.
See the image here :
The perimeter of the triangle is ( 6 + 8) + (6 + 7) + ( 8 + 7) = 14 + 13 + 15 = 42
The area = (1/2) radius of incircle * perimeter =
(1/2) (4) (42) =
2 * 42 =
84 .....just as the guest found !!!!
