Problem 962

Find the k area of the triangle.




To find the area of the triangle, use the following theorem known as Heron’s Formula.

The area K of a triangle with sides a, b, and c is

K = \sqrt{s(s-a)(s-b)(s-c)}, where s = \frac{1}{2}(a+b+c).

First calculate the value of s as specified in the theorem.

s  = \frac{1}{2}(a+b+c)


= \frac{15}{2}

Now use the Heron’s Formula to calculate the area.

K = \sqrt {s (s-a)(s-b)(s-c)}




Simplify the right side to find the area of the triangle.

K \approx 5.56 square units



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