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Find the area of triangle QRS. Round the answer to the nearest tenth. A. 19.4 square units B. 91.2 square units C. 1,040.5 square units D. 1,052.4 square unts

2 Answers

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Answer: Letter B.

Explanation:

User Pilkch
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The extended version of the link given shows a triangle with sides of measurements equal to 13, 16, and 15 units.

Since we are given with the measurements of all sides, we use the Heron's formula.

A = sqrt ((s)(s - a)(s - b)(s - c))

where s is the semiperimeter and a, b, and c are the measures of the sides.

s = (a + b + c) /2
s = (13 + 15 + 16) / 2 = 22

Substituting this to the equation for the area,
A = sqrt ((22)(22 - 13)(22 - 15)(22 - 16))
A = 91.19 square units

Thus, the area is approximately equal to 91.2 square units. The answer is letter B.
User Boris Treukhov
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