Question

question
in △abc, ∠c ≅ ∠b, bc = 5 and ab = 7. find ca.

Explanation:

Step1: Identify the triangle type

Since $\angle C\cong\angle B$, $\triangle ABC$ is an isosceles triangle. In an isosceles triangle, the sides opposite the congruent angles are equal.

Step2: Determine the length of $CA$

The sides opposite $\angle C$ and $\angle B$ are $AB$ and $CA$ respectively. Given $AB = 7$, so $CA=AB$.

Answer:

$7$