![]() If you know that two base angles are congruent, then it has to be an isosceles triangle with two sides that are congruent. Can we assume that this is an isosceles triangle where two sides are congruent? The answer to that is yes. What about the converse? Remember the converse is when you switch the if and the then part of a conditional statement, so over here I've drawn a triangle where you have two base angles that are congruent. If you're interested, you can also call this side here that's opposite the vertex the base. The angles with the base as one of their sides are called the base angles. An isosceles triangle has two equal sides and angles. All three interior angles add to 180 because it is a triangle. The two angles opposite these two marked sides are also the same: both angles are 70. The two marked sides are both the same length. The vertex angle is the angle between the legs. An isosceles triangle is a type of triangle that has two sides that are the same length. The third side of the triangle is called the base. ![]() Our base angles are the two angles that are not part of the vertex but wait a minute, what's the vertex? Well the vertex is this angle right here and notice that the vertex contains the two sides of the triangle that are congruent, so what I said is if you know that two sides of a triangle are congruent then the two base angles must be congruent. An isosceles triangle is a triangle with two sides of equal length, called legs. The Isosceles Triangle Theorem states: If two sides of a triangle are congruent, then angles opposite those sides are congruent. If we know that we can assume that the base angles are congruent but wait a minute I just used a couple new words.įirst one was base angles. The first is isosceles triangles mean we have two sides that are congruent. When we're talking about isosceles triangles there are two key things. The sum of a triangle angles equals the straight angle (180 degrees or radians).
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