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Gnom [1K]
3 years ago
7

ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Step-by-step explanation:

Okay, so the triangle would look something like this:

see the image attached

Since AB=AC, which is given; <ABD = <ACD, because they are the angles opposite from the congruent sides of the isosceles triangle; and <ADB=<ADC, as AD is the bisector*; ΔABD ≅ ΔACD using SAA/AAS (side-angle-angle) congruencey.

*If the bisector of an angle in a triangle meets the opposite side at its midpoint, then the triangle is isosceles, and vice versa

(I haven't done Geometry in a while so I hope that's correct :) )

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