If has side lengths 10, 8, and 4, then the area of the triangle can be expressed as , where is a -digit number. Find .
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Using Heron's Formula,
If a,b,c are the three sides of a triangle, then we define s(semi-perimeter) as s = 2 a + b + c , then
So here as per given information, let a = 1 0 , b = 8 , c = 4
A r e a = s ( s − a ) ( s − b ) ( s − c )
= 2 3 1
So a n s w e r = 2 + 3 + 1 = 6