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Isosceles Triangle
Isosceles Triangle – Definition: An isosceles triangle is a triangle with two sides of equal length. The word “isosceles” comes from the Greek word for “equal-sided.” An isosceles triangle has two angles of equal measure, and the two angles add up to 180 degrees, just like any other triangle. The two equal sides are called the “legs” of the triangle, and the third side is called the “base.” The point where the two legs meet is called the “vertex.”
Properties of Isosceles Triangle
The properties of isosceles triangle are as follows:
1. The two sides that are equal in length are called the base and the height.
2. The angles opposite the base and the height are both equal.
3. The triangle is isosceles if and only if the base and height are equal.
Area of isosceles triangle =
base × height
The area of an isosceles triangle is equal to the base multiplied by the height.
Perimeter of isosceles triangle = 2a + b
Perimeter of an isosceles triangle is calculated by adding the length of both of its equal sides. In this example, a = 3 and b = 4, so the perimeter is 2a + b = 2(3) + 4 = 10.
on Isosceles Triangles
- Draw an isosceles triangle with two equal sides of length .
- the altitude from the base to the opposite vertex.
- Draw the bisector of the base angle.
- the bisector of the other base angle.
- Connect the points where the altitude, bisectors, and base angles intersect.
Few More Properties of Isosceles Triangle
In an isosceles triangle, the length of the two equal sides are the same.
The base angles of an isosceles triangle are also equal.
The height of an isosceles triangle is the length of the line segment from the base to the apex.
Height and Area of an Isosceles Triangle Formula
The height of an isosceles triangle is the length of its perpendicular bisector. The area of an isosceles triangle is half the base times the height.
Miscellaneous Examples on Isosceles Triangles
1. A triangle is isosceles if two of its sides are of the same length.
2. A triangle is isosceles if its base and height are of the same length.
3. A triangle is isosceles if its angles are of the same measure.
