Question

Find the area of a triangle whose sides are 12 cm, 6 cm and 15 cm.
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Answer 1

heron's formula

`√(s(s - a)(s - b)(s - c))`

s is related to semi-perimeter (a+b+c)/2

`√(16.5(16.5-12)(16.5-6)(16.5-15))`

~34 cm²

Answer 2

To find the area of a triangle with sides of length 12 cm, 6 cm, and 15 cm, you can use Heron's formula, which is a formula for finding the area of a triangle given the lengths of its sides. Heron's formula states that the area of a triangle with side lengths a, b, and c is:

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, defined as:

s = (a + b + c) / 2

In this case, the semi-perimeter of the triangle is:

s = (12 cm + 6 cm + 15 cm) / 2 = 21 cm

Plugging this value into Heron's formula gives:

A = √(21 cm(21 cm - 12 cm)(21 cm - 6 cm)(21 cm - 15 cm))

= √(21 cm(9 cm)(15 cm)(6 cm))

= √(21 cm * 135 cm^2)

= √(2835 cm^2)

= 53 cm

Therefore, the area of the triangle is approximately 53 cm^2.