Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .

Two Isosceles Triangles Have Congruent Vertex Angles Explain Why The Two Triangles Must Be Similar class=

Sagot :

Lolly
2 isosceles triangles with congruent vertex angels. ;-))

Answer:

they are always similar because if the vertex of one is congruent to the vertex angle of another.

Step-by-step explanation:

let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.