The sides of the triangle are 8.15 and 17. Find the area of the triangle.

We need to find the area of a triangle, knowing the lengths of the three sides of the triangle: 8, 15 and 17.
To find the area of a triangle, we will use Heron’s formula. Let’s remember the formula:
S = √p (p – a) (p – b) (p – c).
We will also find p by the formula:
p = (a + b + c) / 2.
Substitute values and perform calculations:
p = (8 + 15 + 17) / 2 = 40/2 = 20.
We are looking for the area of a triangle:
S = √20 * (20 – 8) * (20 – 15) * (20 – 17) = √ (20 * 12 * 5 * 3) = √3600 = 60 square units of the area of this triangle.
Answer: 60 sq. units.



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