Question

find the area of a triangle whose sides are 35 cm 45 cm and 50 cm using heron's formula​

Answer 1

Answer:

A≈764.85cm²

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Answer 2

Hey mate, here is your answer-

length of first side(a)=35cm

length of second side(b)=45cm

length of third side(c)=50cm.

Here,s(half of perimeter)=(35+45+50)cm/2.

=130cm/2

=65cm

Now,area of triangle according to herons formula=√s*(s-a)*(s-b)*(s-c)

=√65*(65-35)*(65-45)*(65-50)cm2

=√65*30*20*15cm2

=√(13*5)*(2*3*5)*(2*2*5)*(3*5)cm2

=√2*2*2*3*3*5*5*13cm2

=30√26cm2

Hence the area of the triangle is30√26cm2.