| Find area op triangle two sides o...
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| Find area op triangle two sides of | which are 18 cm and loom and i perimeter is 42cm.

11th - 12th Class
Maths
Solution
172
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4.0 (1 ratings)
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Let a, b, c be sides of triangle [ begin{array}{c} text { Perincter }=42=a+b+c qquad begin{aligned} 42 &=18+10+c c &=42-28 c &=14 text { cin } s=frac{4+b+c}{2}=frac{42}{2}=21 end{aligned} end{array} ] Now by heron's formnla Aua ( =sqrt{5(5-a)(5-b)(5-c)} ) [ begin{aligned} &=sqrt{21(21-18)left(21^{2}-10right)(21-14)} &=sqrt{21 times 3 times 11 times 7}=sqrt{21 times 21 times 11} text { Area } &=21 sqrt{11} mathrm{cm}^{2} end{aligned} ]
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