Question Video: Identifying the Legs on an Isosceles Triangle | Nagwa Question Video: Identifying the Legs on an Isosceles Triangle | Nagwa

Question Video: Identifying the Legs on an Isosceles Triangle Mathematics • Second Year of Preparatory School

Consider the following triangle. Identify the legs of the triangle.

01:46

Video Transcript

Consider the following triangle. Identify the legs of the triangle. Option (A), line segment 𝐴𝐡 and line segment 𝐡𝐢. Option (B), line segment 𝐴𝐡 and line segment 𝐴𝐢. Or option (C), line segment 𝐡𝐢 and line segment 𝐴𝐢.

Let’s begin by looking at the triangle that has been drawn. Triangle 𝐴𝐡𝐢 has a side 𝐴𝐢 of three centimeters and two shorter sides each of two centimeters. This means that this must be an isosceles triangle, because by definition an isosceles triangle has two congruent sides. Line segments 𝐴𝐡 and 𝐡𝐢 are the same length of two centimeters, so we can mark on the diagram that these are congruent.

This also means that we can identify the legs of this isosceles triangle. The two congruent sides of an isosceles triangle are called the legs of the triangle. That means that we can give the answer that the two legs of this isosceles triangle are line segments 𝐴𝐡 and 𝐡𝐢, which was the answer given in option (A).

Although we weren’t asked for it here, the third side of an isosceles triangle is referred to as the base. Note that this does not have to be the side which is horizontal at the bottom of the triangle in the way we may typically have seen isosceles triangles drawn. It is simply the noncongruent third side.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy