The given two triangles EJH and EIH are congruent by the RHS congruency rule of two triangles.
Congruence of triangles:
If two or more triangles having same size and shape, then they are congruent to each other.
Every angle and sides are must be equal to each other and hence area is also equal.
How to show congruence in right angled triangles?
Here we have given that two triangles EJH and EIH, both are right angled triangles.
In any two right angled triangles having same hypotenuse and base side then they are congruent to each other by the RHS congruency
Here we have given side HJ ≅ side HI
∠EJH = ∠EIH = 90°
The common side EH is hypotenuse for both that is side EH = side EH
Therefore by RHS criteria these two triangles are congruent.
Learn more about right angled congruency here-
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