Question

Find the area of the triangle whose sides are 13cm, 14cm, and 15cm?

Answer 1

Given that : Sides of a triangle are 13 cm, 14 cm and 15 cm.

As we know that from Heron's formula :

Area of triangle = √s(s-a)(s-b)(s-c), where s = (a+b+c)/2 and a,b, and c are sides of triangle

Now, s = (13+14+15)/2 = 42/2 = 21 cm.

Area of Triangle = √21(21-13)(21-14)(21-15)

=> AOT = √21×8×7×6

=> AOT = 84cm²

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Answer 2

By using herons formula

We get ,

s=13+14+15/2

S=21cm

Now area=√s(s-a) (s-b) (s-c)

√21(21-13)(21-14)(21-15)

√21(8)(7)(6)

√21(336)

√7056

84 cm² is the area