write the herons formula used to calculate the area of triangle whose side are a, b,and,c
Answers
Answered by
4
Hey, hi
Here is ur answer
____________________________
Given sides = a, b, c
S = a + b + c
______
2
Area of triangle = √s(s-a)(s-b)(s-c)
______---------__________________
sahil kumar
Here is ur answer
____________________________
Given sides = a, b, c
S = a + b + c
______
2
Area of triangle = √s(s-a)(s-b)(s-c)
______---------__________________
sahil kumar
Answered by
2
Hey !!!
∆ = 1 /2absinC
= 1 /2ab ×2sinC/2×cosC/2
{•°• sin2A = 2sinA ×cosA using this formula }
= ab√(s-a)(s-b)/ab ×√s(s-c)/ab
•°• sinC/2 = √(s-a)(s-b)/ab and cosC/2 = √s(s-c)/ab
= √s(s-a)(s-b)(s-c) [Prooved here ]
****************************
Hope it helps you !!!
@Rajukumar111
∆ = 1 /2absinC
= 1 /2ab ×2sinC/2×cosC/2
{•°• sin2A = 2sinA ×cosA using this formula }
= ab√(s-a)(s-b)/ab ×√s(s-c)/ab
•°• sinC/2 = √(s-a)(s-b)/ab and cosC/2 = √s(s-c)/ab
= √s(s-a)(s-b)(s-c) [Prooved here ]
****************************
Hope it helps you !!!
@Rajukumar111
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