6
AssignmentLong Text

Unknown Leg Lengths in Right Triangles

Question 6 • Pre-Algebra - MA3119 B-CR

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

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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