Prove that the base angles of an isosceles triangle are congruent. Be sure to create and name the appropriate geometric figures.

I really need to pass this class! So any help would be amazing!

Question

Prove that the base angles of an isosceles triangle are congruent. Be sure to create and name the appropriate geometric figures.

I really need to pass this class! So any help would be amazing!

thesmartone · Answer

@dan815 @Michele_Laino @triciaal QH question

anonymous · Answer

http://www.regentsprep.org/regents/math/geometry/gp6/Lisosceles.htm

michele_laino · Answer

we have to consider the height of your triangle with respect to its base, namely:
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anonymous · Answer

Ok but If I have to show this in text, because I cannot post pictures. So if i had to type out an explanation how would I do that?

dan815 · Answer

well u gotta prove the height is connected to the mid point of the base too :P

michele_laino · Answer

now, there exists a theorem which states that for an isosceles triangle the heigh with respect to its base is also a median of its base and bisects the angle at vertex C. In other words the angles ACH and BCH are congruent, and AH is congruent to BH
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