Two right angled triangles having common hypotenuse will not be congruent if they have *
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Step-by-step explanation:
In geometry, Thales' theorem states that if A, B and C are points on a circle where the line AB is a diameter of the circle, then ∠ACB is a right angle.
If we drop perpendiculars on diameter AB from points C & D, then do you think CC' and DD'(C' & D' being foot of perpendiculars) are equal? Well, definitely not.
Clearly, CC'≠DD'
∴12 × AB × CC' ≠ 12 × AB × DD'
⇒AreaΔACB≠AreaΔBDA
Thus, if area is not equal then both triangles are also not congruent.
Therefore, neither of the statement is correct.
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