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

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.

Explanation:

Edge 2021

Answer 2

It depends

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:
`(A)/(sin(a)) = (B)/(sin(B)) = (C)/(sin(C))` or Law of Cosines:
`c^2 = a^2 + b^2 -2abcosC`.