Triangle ABC is equilateral triangle Cis the mid point of DE AD is perpendicular to AC and BE is perpendicular - Maths - Congruence of Triangles

Question

Triangle ABC is equilateral triangle Cis the mid point of DE AD
is perpendicular to AC and BE is perpendicular to BC Prove that
triangle DAC is congruent to triangle EBC Angle DAC and angle EBC
are 90 degrees

Pooja · Accepted Answer

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In Î”DAC and Î”EBC,
AC = BC (Sides of an equilateral triangle)
âˆ DAC = âˆ EBC = 90Â°
(Given)
CD = CE (C is the mid-point of side DE, Given)
By RHS congruency criteria
Î”DAC is congruent to Î”EBC

Triangle ABC is equilateral triangle.Cis the mid point of DE.AD is perpendicular to AC and BE is perpendicular to BC.Prove that triangle DAC is congruent to triangle EBC.Angle DAC and angle EBC are 90 degrees.