Question

ABCD is a rectangle .E is the midpoint of AB. prove that DEC is an isosceles triangle. ​

Answer 1

Answer:

Given : ABCD is a rectangle.

E is the mid point of side AB.

To prove : Triangle DEC is isosceles.

Proof : In triangles ADE and BCE

AD = BC (opp sides of rectangle)

AE = BE (E is the mid point)

Angles DAE and CBE are 90° (all angles in a rectangle are 90°)

therefore triangles DAE and CBE are congruent (SAS congruence rule)

DE = CE (by CPCT)

two sides are equal so triangle DEC is isosceles...

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Answer 2

H o p e it helps you Thanks