Question:
Consider a right angled triangle with in radius 2cm and circumradius of 7cm . What is the area of the triangle ?
Solution:
Method 1:
For right tringle, area = r (r+2R) = 2*(2+14) = 32
Method 2:
Use delta = r^2+2R×r = 4+2×2×7 = 32
Method 3:
C = 7
H = 14
1/2(a+b-c) = 2
A+b-14 = 4
A+b = 18
2ab + 196 = 324
2ab = 128
Ab/2 = 128/4 = 32