Question

A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.

Answer 1

Your answer would be, For example, the Triangular section of a lawn is named ABC, The sides are name ABC, respectively as the opposite of the angles, with the similar letters. Like Side A is opposite angle (a). The missing side length is B, To get this, Maurice, used the Law of Cosines. In order to use this, Maurice need to have two sides, and angle between them, that is given to solve for the missing lengths, which is Sides A, and C, and an angle B. Johanna used the Law of Sines, in which, she need two angles, and an opposite sides, that should be given to find the missing Length, which is Angle B, and C, and Side C. So, Since both Laws use the remaining were given, The use of both, will result in a similar measurements.




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