SOLUTION: In Triangle ABC B=5 C=4 the area of the triangle is 15√7 divided by 4. To the nearest tenth calculate A and measure of angle a (in degrees) thank you in advance for helping me ou
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Question 1135700: In Triangle ABC B=5 C=4 the area of the triangle is 15√7 divided by 4. To the nearest tenth calculate A and measure of angle a (in degrees) thank you in advance for helping me out Answer by ikleyn(52915) (Show Source):
It is the only one true, fully completed and correct solution among the three solution in that post.
For your convenience, I copy and paste it here one more time, rounding answer to nearest tenth.
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For any triangle, its area is half the product of the lengths of any its two sides and the sine of the angle between them.
In your case, the Area = .
Substituting your data, you have = .
From here, sin(A) = = 0.992167.
Then for angle A you have TWO possible values m ( < A ) = 82.9° and m ( < A) = 180° - 82.9° = 97.1°. ANSWER
