Question

If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.

Answer 1

Answer:

It depends

Step-by-step explanation:

If you are given a right triangle, you use Pythagorean Theorem: a² + b² = c²

If you are given an angle but its not a right triangle, you can use either Law of Sines: $\frac{A}{sin(a)} = \frac{B}{sin(B)} = \frac{C}{sin(C)}$ or Law of Cosines: $c^2 = a^2 + b^2 -2abcosC$.

Answer 2

Answer:

Sample Response: Create and label a diagram. Then, using the Pythagorean theorem, substitute the values for corresponding variables into the theorem and solve by applying inverse operations.

Step-by-step explanation:

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