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the base and hypotenuse of a right angled triangle are respectively 5cm, and 13cm long. find its area. By herons formula

Answer»

By PHYTHAGORAS theorem
5^2 + x^2 =13^2
on solving , remaining SIDE =12cm
applying HERON's formula.
area = √{s(s-a)(s-b)(s-c)}
s=(5+12+13)/2=15
so area=√15*10*3*2
=√3*5*5*2*3*2
=√3*3*5*5*2*2
=3*5*2
=30cm^2



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