Q158 of 158 Page 159

In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆EOD? Why?


Formula Used/Theory:-


⇒ If hypotenuse and 1 sides of Right angled triangle are equal in both the triangles then both triangles are congruent by RHS congruence criterion


In ∆ABC and ∆EOD


As ∆ABC, ∆EOD both are right angled triangle


Right angled at ∠ABC and ∠EOD


∠B = ∠O = 90°


AC = DE (Hypotenuse Given)


AB = EO (Given)


∆ABC ≅ ∆EOD


Hence; both triangles are congruent by RHS criterion


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