Question

ABC is isosceles triangle and angle B = angle C, AD is perpendicular from A on BC, prove that triangle ABD congruence triangle ACD hence show that D is the mid-point of BC

Answer 1

In triangle ABD and ACD

angle B=angle C

AD=AD. (common)

and,

AB = AC (as triangle is isosceles triangle)

hence, by SAS rule

triangle ABD =~ triangle ACD.....

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