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:

x = (given length)² - (hypotenuse)² =  $2\sqrt{answer}$

Step-by-step explanation:

By  Pythagoras theorem, sum of the squares of the legs is equal to the square of the hypotenuse.

Therefore, (given leg)² + x² = (hypotenuse)²

x = (given length)² - (hypotenuse)² =  $2\sqrt{answer}$

x =   $2\sqrt{answer}$

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Answer 2

Answer:

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:

Sample Response: