Question

Find the area of triangle, sides are 18m, 14m and perimeter 42m by using Heron's formula.​

Answer 1

Answer:

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Step-by-step explanation:

a = 18m

b = 10m

perimeter = 42m

perimeter of triangle=sum of all sides.

42 = 18+10 +x

42 = 28+x

x=42-28

therefore x = 14m

semi perimeter=perimeter/2

semiperimeter(s) = 42//2=21m

according to herons formulae , area of triangle= underroot s(s-a)(s-b)(s-c)

so,area of triangluar park = underroot 21(21-18)(21-10)(21-14)

area of triangluar park = underroot 21(3)(11)(7)

area of triangluar park = underroot 4851

area of triangluar park = 69.65m2 (approx.)

Answer 2

Step-by-step explanation:

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forA

A=1

4﹣P4+4P3a+4P3b﹣4(Pa)2﹣12P2ab﹣4(Pb)2+8Pa2b+8Pab2=1

4·﹣424+4·423·18+4·423·14﹣4·(42·18)2﹣12·422·18·14﹣4·(42·14)2+8·42·182·14+8·42·18·142≈69.64912m²

hope this helps you