Question
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)
Answer
4.2
(255 Votes)
Elizabeth
Expert · 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
.2. The sides that form ∠B are
and
.Now, let's evaluate the statements one by one:- The side adjacent to angle
is
: This is incorrect because
is the hypotenuse, not the side adjacent to angle
.- The side adjacent to angle
is
: This is correct because
forms angle
with
, which is the side opposite angle
.- The side adjacent to angle
is
: This is incorrect because
is the side opposite angle
.- The side adjacent to angle
is
: This is incorrect because
forms the right angle at
, and the side adjacent to angle
would be
, not
.Therefore, the correct statement is:The side adjacent to angle
is
.Final Answer: The side adjacent to angle
is
.