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The movement of the progress bor may be uneven becouse questic Which statement is true? The side adjacent to angle A is overline (AC) The side adjacent to angle A is overline (BC) The side adjacent to angle C is overline (AB) The side adjacent to angle C is overline (BC)

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The movement of the progress bor may be uneven becouse questic
Which statement is true?
The side adjacent to angle A is overline (AC)
The side adjacent to angle A is overline (BC)
The side adjacent to angle C is overline (AB)
The side adjacent to angle C is overline (BC)

The movement of the progress bor may be uneven becouse questic Which statement is true? The side adjacent to angle A is overline (AC) The side adjacent to angle A is overline (BC) The side adjacent to angle C is overline (AB) The side adjacent to angle C is overline (BC)

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ElizabethExpert · Tutor for 3 years

Answer

To answer this question, we need to understand the terminology used in the context of right triangles:- The side adjacent to a given angle is the side that forms that angle with another side of the triangle, excluding the side opposite the angle.- In a right triangle, the side opposite the right angle is called the hypotenuse.Given that ∠B is a right angle in triangle ABC, we can deduce the following:1. The side opposite ∠B, which is the hypotenuse, is \(\overline{AC}\).2. The sides that form ∠B are \(\overline{AB}\) and \(\overline{BC}\).Now, let's evaluate the statements one by one:- The side adjacent to angle \(A\) is \(\overline{AC}\): This is incorrect because \(\overline{AC}\) is the hypotenuse, not the side adjacent to angle \(A\).- The side adjacent to angle \(A\) is \(\overline{BC}\): This is correct because \(\overline{BC}\) forms angle \(A\) with \(\overline{AB}\), which is the side opposite angle \(A\).- The side adjacent to angle \(C\) is \(\overline{AB}\): This is incorrect because \(\overline{AB}\) is the side opposite angle \(C\).- The side adjacent to angle \(C\) is \(\overline{BC}\): This is incorrect because \(\overline{BC}\) forms the right angle at \(B\), and the side adjacent to angle \(C\) would be \(\overline{AB}\), not \(\overline{BC}\).Therefore, the correct statement is:The side adjacent to angle \(A\) is \(\overline{BC}\).Final Answer: The side adjacent to angle \(A\) is \(\overline{BC}\).
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