Area of triangle
Three sides of a triangle are 8 cm , 1 0 cm , 1 2 cm . Find the area of this triangle.
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3 solutions
Use the Heron's Formula:
s = 2 a + b + c = 2 8 + 1 0 + 1 2 = 1 5
A = s ( s − a ) ( s − b ) ( s − c ) = 1 5 ( 1 5 − 8 ) ( 1 5 − 1 0 ) ( 1 5 − 1 2 ) = 1 5 7 5
Its formula is first add the 3 sides and divide it by 2. then name the result as S. then to take out the area of triangle multiply S,S-1st side,S-2nd side and S-3rd side. so the solution of the problem is 8+10+12=30 30/2=15 ={15 (15-8) (15-10) (15-12)}cm^2 =(15 7 5 3)cm^2 =1575 cm^2
Use Heron’s Formula
s = 2 8 + 1 0 + 1 2 = 1 5
A = 1 5 ( 1 5 − 8 ) ( 1 5 − 1 0 ) ( 1 5 − 1 2 ) = 1 5 7 5