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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