Question

question
in △hij, ∠i ≅ ∠h, jh = 17 and hi = 18. find ij.

Explanation:

Step1: Use the property of isosceles triangle

In a triangle, if two angles are congruent (\(\angle I\cong\angle H\)), then the sides opposite to these angles are congruent.
The side opposite to \(\angle I\) is \(JH\), and the side opposite to \(\angle H\) is \(IJ\).

Step2: Find the length of \(IJ\)

Since \(JH = IJ\) (by the isosceles - triangle property: if \(\angle I\cong\angle H\), then \(IJ = JH\)), and given that \(JH = 17\).

Answer:

\(IJ = 17\)