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The length of a triangle is 11 inches, 9.7 inches and 4.6 inches respectively. What is its area?

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Answer:

Explanation:

We can use the Heron's Formula to calculate the area of the triangle, yet first we need to calculate half the perimeter of the triangle

The sides are a= 11, b=9.7, c=4.6

Half of the perimeter is

s = (a+b+c)/ 2 = (11 +9.7 +4.6)/2 = 25.3/ 2 = 12.65 inches

Heron's Formula for calculating the area of the triangle:

A = √(s (s -a)(s -b)(s -c))

A = √(12.65* (12.65 -11)(12.65 -9.7)(12.65-4.6))

A = √(12.65* 1.65 * 2.95 *8.05)

A ≈ 22.26 inc.²

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