question in △abc, bc = 5, ca = 9, and ab = 8. which statement about the angles of △abc must be true? answer m∠c

Question

question in △abc, bc = 5, ca = 9, and ab = 8. which statement about the angles of △abc must be true? answer m∠c < m∠b < m∠a m∠b < m∠a < m∠c m∠a < m∠c < m∠b m∠a < m∠b < m∠c m∠b < m∠c < m∠a m∠c < m∠a < m∠b

Accepted Answer

# Explanation:
## Step1: Recall the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
## Step2: Compare the side lengths
Given $BC = 5$, $CA=9$, and $AB = 8$. So, $BC<AB<CA$.
## Step3: Determine the angle order
Since $BC<AB<CA$, the angles opposite these sides follow the same order. Angle $A$ is opposite $BC$, angle $C$ is opposite $AB$, and angle $B$ is opposite $CA$. So, $m\angle A<m\angle C<m\angle B$.

# Answer:
$m\angle A < m\angle C < m\angle B$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle side - angle relationship

Step2: Compare the side lengths

Step3: Determine the angle order

Answer: