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Are the base angles of an isosceles triangle always congruent?

Sagot :

Medunno13

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

What is the isosceles triangle?

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

  • An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base.

  • The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

To learn more about the isosceles triangle click the link given below.

https://brainly.com/question/27177888

#SPJ4

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