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If a = 12, b = 16, and c = 25, then the area of triangle ABC = ….

If a = 12, b = 16, and c = 25, then the area of triangle ABC = ….-example-1
User Vahid Abdi
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1 Answer

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The area of a triangle is given by the next formula:


A_S=(base\cdot height)/(2)

Now, in this case, we don't know the height. Therefore, we need to use Heron's formula:


A_S=\sqrt[]{s(s-a)\cdot(s-b)\cdot(s-c)}

Where s:


s=(a+b+c)/(2)

Let's find s:


s=(12+16+25)/(2)
s=(53)/(2)

Then, replace s on the area formula:


A=\sqrt[]{((53)/(2)((53)/(2)-12)\cdot((53)/(2)-16)\cdot((53)/(2)-25))}

Hence, the area of the triangle given is:


A=77.8

The value is rounded to the nearest tenth.

User Gsempe
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