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The longest side of a right …

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The longest side of a right angled triangle is 125m and one of the remaining two sides is 100m. Find its area using heron's formula

Posted by Kaneez Fatima 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Rohit Raj 9 months ago

Londest side =125m (hypotenuse),h Let (base),b=100m And(perpendicular)=p From Pythagoras theorem,we know that, h^2=b^2+p^2 On putting the given values here we get 125^2=100^2+p^2 15265=10000+p^2 15625-10000=p^2 5625=p^2 √5625=p P=75 Here three sides of triangle a=125m b=100m C=75m We know that S=a+b+c/2 S=125+100+75/2 S=150m Again,we know that Area of triangle by herons formula=√s(s-a)(s-b)(s-c) area of 📐=√150(150-125) (150-100)(150-75) =√150×25×50×75 =√3×50×25×50×25×3 =√3×3×50×50×25×25 =3×50×25 =3750m^2. ...Ans👍

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