Multiple Choice
Given right triangle xyz, if angle x is and the length of the side opposite angle x is , what is the length of the hypotenuse?
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2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
A right triangle has one leg of length units and a hypotenuse of length units. What is the length of the missing leg? If necessary, round your answer to the nearest tenth.
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Verified step by step guidance1
Identify the given elements of the right triangle: one leg length is 6 units, and the hypotenuse length is 10 units.
Recall the Pythagorean theorem, which relates the sides of a right triangle: \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse and \(a\), \(b\) are the legs.
Assign the known values to the formula: let the missing leg be \(x\), so \$6^2 + x^2 = 10^2$.
Rearrange the equation to solve for \(x^2\): \(x^2 = 10^2 - 6^2\).
Calculate \(x\) by taking the square root of both sides: \(x = \sqrt{10^2 - 6^2}\). Then, round the result to the nearest tenth if necessary.
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