Isosceles Triangle
A triangle that has 2 equal sides.
An isosceles triangle is a triangle with two equal sides and two equal angles. The angle between the two equal sides is called the vertex angle or the base angle. The opposite side to the vertex angle is called the base of the triangle.
Properties of isosceles triangle:
– Two sides of an isosceles triangle are equal in length
– Two angles of an isosceles triangle are also equal in measure
– The base angles of an isosceles triangle are congruent (equal in measure)
– The vertex angle of an isosceles triangle is opposite to the base
Some formulas used to calculate measurements of isosceles triangles:
– Perimeter of an isosceles triangle: P = 2a + b where a is the length of the equal sides and b is the length of the base.
– Area of an isosceles triangle: A = (b/2) x sqrt(a^2 – (b^2 / 4)), where a is the length of the equal sides and b is the length of the base.
Isosceles triangles are commonly found in geometry problems and can be used to explore other geometric concepts, such as the Pythagorean Theorem, the Law of Cosines, and the Law of Sines.
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