What does it mean if a triangle is isosceles?

What does it mean if a triangle is isosceles?

Definition of isosceles triangle mathematics. : a triangle in which two sides have the same length.

Why is triangle ABC is isosceles?

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA. Theorem 2: Sides opposite to the equal angles of a triangle are equal. Proof: In a triangle ABC, base angles are equal and we need to prove that AC = BC or ∆ABC is an isosceles triangle.

How do you name a isosceles triangle?

In an isosceles triangle, the two equal sides are called legs, and the third side is called the base. The angle formed by the two equal sides is called the vertex angle. The other two angles are called base angles (Figure 1 ).

Why is a triangle called a right triangle?

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

How can you tell if a triangle is isosceles?

One way of proving that it is an isosceles triangle is by calculating the length of each side since two sides of equal lengths means that it is an isosceles triangle.

Is a right triangle scalene?

A right scalene triangle is a triangle in which all three sides are different in measurements with one angle as 90 degrees. A triangle is a closed figure made up of three lines and three angles….Right Scalene Triangle.

What is an isosceles triangle?

What is Isosceles Triangle? A triangle with two sides of equal length is an isosceles triangle. The two equal sides of an isosceles triangle are known as ‘legs’ whereas the third or unequal side is known as the ‘base’. Angles opposite to equal sides in an isosceles triangle are always of equal measure.

What is the difference between scalene and isosceles?

A triangle that is not isosceles (having three unequal sides) is called scalene. “Isosceles” is a compound word, made from the Greek roots “isos” (equal) and “skelos” (leg). In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base.

Is triangle ABC isosceles or is it congruent?

AB ≅AC so triangle ABC is isosceles. ABC can be divided into two congruent triangles by drawing line segment AD, which is also the height of triangle ABC. Using the Pythagorean Theorem where l is the length of the legs, .

What is the relationship between the base legs and height of isosceles?

The height of an isosceles triangle is the perpendicular line segment drawn from base of the triangle to the opposing vertex. Using the Pythagorean Theorem, we can find that the base, legs, and height of an isosceles triangle have the following relationships: Base angles of an isosceles triangle