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Triangle LMN is an obtuse triangle with l = 6, n = 8.3, and m∠M = 132°. What is the area of ΔLMN?

User Li Etzyio
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1 Answer

2 votes

Final answer:

To find the area of an obtuse triangle with given side lengths and angle, use the formula 0.5 * l * n * sin(M).

Step-by-step explanation:

To find the area of an obtuse triangle, we need to determine the length of the altitude. Since we are given the lengths of sides l and n, as well as angle M, we can use the formula:

Area = 0.5 * l * n * sin(M)

Plugging in the given values:

Area = 0.5 * 6 * 8.3 * sin(132°)

Calculating the sine of 132°

Area ≈ 0.5 * 6 * 8.3 * 0.9397

Area ≈ 23.21

User Greg Holst
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7.5k points
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