객관식
Which of the following sets of side lengths forms a ?
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0. Review of College Algebra
Pythagorean Theorem & Basics of Triangles
객관식
A right triangle has legs of length units and units. What is the length of the hypotenuse of the triangle?
A
units
B
units
C
units
D
units
검증된 단계별 안내1
Identify the given information: the triangle is a right triangle with legs of lengths 18 units and 24 units.
Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse length \(c\) is equal to the sum of the squares of the legs: \(c^2 = a^2 + b^2\).
Substitute the given leg lengths into the formula: \(c^2 = 18^2 + 24^2\).
Calculate the squares of the legs: \(18^2 = 324\) and \(24^2 = 576\), then add them: \(c^2 = 324 + 576\).
Take the square root of both sides to solve for \(c\): \(c = \sqrt{324 + 576}\).
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