which inequality regarding the side lengths of ( riangle abc) is true?
(ac

Question

which inequality regarding the side lengths of (	riangle abc) is true?
(ac < ab < bc)
(ab < ac < bc)
(bc < ab < ac)
(ab < bc < ac)

Accepted Answer

# Explanation:
## Step1: Recall the triangle side - angle relationship
In a triangle, the larger the angle, the longer the side opposite it.
## Step2: Compare the angles
We have $\angle B = 43^{\circ}$, $\angle C=62^{\circ}$, $\angle A = 75^{\circ}$.
The sides opposite these angles are $AC$, $AB$, and $BC$ respectively.
Since $43^{\circ}<62^{\circ}<75^{\circ}$, then $AC < AB<BC$ (by the side - angle relationship in a triangle: if $\angle X<\angle Y<\angle Z$ in $\triangle XYZ$, then $YZ < XZ<XY$)

# Answer:
$AC < AB<BC$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle side - angle relationship

Step2: Compare the angles

Answer: