Question

60 Points I need this answer ASAP plz

If the base angles of a triangle are congruent, use the Law of Sines to show the triangle is isosceles.

Answer 1

The Isosceles Triangle Theorem States that if a triangle contains 2 congruent sides, then the angles opposite those sides are congruent. This theorem can be proved using the Law of Sines: The Law of Sines states that: asinA=bsinB=csinC If a=c, making △ABC an isosceles triangle, then asinA=asinC!

Answer 2

The law of sins says: a/SinA = b/SinB = c/sinC

For this to be an isosceles triangle then side a must equal side c

so then a/sinA = c/sinC

Then you can divide both sides by a and raise to the power of -1 and you would get angle A = angle C which makes this isosceles.