in the given figure,find the area of triangle a = 8 cm , b = 11 cm , c = 4 cm.
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Step-by-step explanation:
→ To find the area of these triangle we have to use herons formula.
→ First we have to find the s-perimeter .
→ a = 8 cm , b = 11 cm , c = 4 cm
→ s-perimeter = (a+b+c)/2
= (8 + 11 + 4 )/2
= 23/2
= 11.5 cm
→ Now heron formula
→ A = [√s(s-a)(s-b)(s-c)]
→ A = [√11.5(11.5-8)(11.5-11)(11.5-4)]
→ A = [√11.5(3.5)(0.5)(7.5)]
→ A = [√11.5(13.125)]
→ A = [√150.9375]
→ A = 12.2856
So area of the figure (triangle) a = 8 cm , b = 11 cm , c = 4 cm is 12.2856 cm²
→ AREA = 12.2856 CM²
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