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what is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches? enter your answer in the box in simplified radical form.

User Png
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1 Answer

4 votes

Answer:

26√11 square inches

Explanation:

You want to know the area of a triangle with side lengths 13, 15, and 24 inches.

Heron's formula

The area of a triangle can be found using Heron's formula:

A = √(s(s -a)(s -b)(s -c)) . . . . . where s = (a+b+c)/2

Application

For (a, b, c) = (13, 15, 24), the area is ...

s = (13 +15 +24)/2 = 26

A = √(26(26 -13)(26 -15)(26 -24)) = √(26·13·11·2) = 26√11

The area of the triangle is 26√11 square inches.

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Additional comment

That's about 86.23 square inches.

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User Ilia Ross
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