AnswersPre-Algebra - MA3119 B-CRUnknown Leg Lengths in Right Triangles

Unknown Leg Lengths in Right Triangles Answers

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Select all that you included in your response.

A
Create a diagram and label the unknown leg a or b.
B
Apply the Pythagorean theorem.
C
Substitute values in for corresponding variables.
D
Solve using inverse operations.
3

In which step did Shawna make an error?

A
Step 1. She incorrectly applied the Pythagorean theorem.
B
Step 2. She incorrectly squared the numbers.
C
Step 3. She incorrectly isolated a2
D
Step 4. She incorrectly solved for a.
6

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:

To determine the length of the unknown leg, start by creating and labeling a diagram of the right triangle. Use the Pythagorean theorem, a² + b² = c², where c represents the hypotenuse and a and b represent the legs. Substitute the given values for the hypotenuse and the known leg into the formula. Then, use inverse operations to solve for the unknown leg by subtracting the square of the known leg from the square of the hypotenuse and taking the square root of that value.

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