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TRIGONOMETRY Find the area of this triangle round to the nearest whole number

TRIGONOMETRY Find the area of this triangle round to the nearest whole number-example-1
User Larryq
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1 Answer

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ANSWER

13,170 square units

Step-by-step explanation

The side lengths of this triangle are all different, so it is a scalene triangle. The three side lengths are given, so we will use the following formula to find the area,


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

Where a, b, and c, are the side lengths of the triangle, and s is the semi-perimeter,


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

In this case, the semi-perimeter is,


s=(260+175+155)/(2)=(590)/(2)=295

So the area is,


A=\sqrt[]{295\cdot(295-260)\cdot(295-175)\cdot(295-155)}=\sqrt[]{295\cdot35\cdot120\cdot140}=\sqrt[]{173,460,000}\approx13,170

Hence, the area of this triangle is 13,170 square units.

User Russellpierce
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