Find the area of a triangle with sides 8, 15 and 17 cm.

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The area of a triangle with sides 8, 15 and 17 cm has to be determined.

The area of any triangle with sides, a, b, c can be determined using Heron's Formula as `A = sqrt(s(s - a)(s - b)(s - c))` where `s = (a+b+c)/2`

Before using the formula...

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The area of a triangle with sides 8, 15 and 17 cm has to be determined.

The area of any triangle with sides, a, b, c can be determined using Heron's Formula as `A = sqrt(s(s - a)(s - b)(s - c))` where `s = (a+b+c)/2`

Before using the formula given, look at the sides of the triangle. It can be seen that `8^2 + 15^2 = 64 + 225 = 289 = 17^2` . The sides of the triangle form a Pythagorean triplet. It is a right triangle with base 8 and height 15.

The area of the triangle is `(1/2)*8*15` = 15*4 = 60 cm^2

The area of a triangle with sides 8, 15 and 17 cm is 60 cm^2

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