Math, asked by ffstudiosinternation, 4 months ago

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Answered by ravi2303kumar
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Answer:

ΔABC and ΔODE are congruent triangles and hence they are equal.

Hypotenuse, Leg Postulate for congruency of triangles

Step-by-step explanation:

From the given figure, it is obvious that

∠ABC = ∠EOD = 90°  => Angles are equal

also, AB = OE             => adjacent Sides are equal

and AC = DE              => Hypotenuse sides are equal

We have the following postulates to prove the congruency of 2 triangles,

   S S S, or Side Side Side

   S A S, or Side Angle Side

   A S A, or Angle Side Side

   A A S, or Angle Angle Side

   H L, or Hypotenuse Leg,( for right triangles only)

of which we can use the HL postulate to show that two triangles are congruent.

and hence i conclude that the given ΔABC and ΔODE are congruent triangles and hence they are equal.

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