Multiple Choice
In right triangle PQR, angle
2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
In the right triangle shown, one leg measures units and the other leg measures units. What is the length of the hypotenuse ?
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Verified step by step guidance1
Identify the given sides of the right triangle: the two legs are 21 units and 28 units.
Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (x) is equal to the sum of the squares of the legs: \(x^2 = a^2 + b^2\).
Substitute the given leg lengths into the formula: \(x^2 = 21^2 + 28^2\).
Calculate the squares of the legs separately: \$21^2 = 441\( and \)28^2 = 784$.
Add these values to find \(x^2\): \(x^2 = 441 + 784\), then take the square root of both sides to solve for \(x\): \(x = \sqrt{441 + 784}\).
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