# How do you find the area of an isosceles triangle?

## How do you find the area of an isosceles triangle?

The area of an isosceles triangle can be calculated in many ways based on the known elements of the isosceles triangle.

- Using base and Height: Area = ½ × b × h.
- Using all three sides: Area = ½[√(a2 − b2 ⁄4) × b]
- Using the length of 2 sides and an angle between them: Area = ½ × b × a × sin(α)

**How do you find C in an isosceles triangle?**

Altitude c of Isosceles Triangle: hc = (b/2a) * √(4a2 – b2)

**What is the perimeter and area of isosceles triangle?**

The length of the two equal sides is 5 cm. We know that the formula to calculate the perimeter of an isosceles triangle is P = 2a + b units. Therefore, the perimeter of an isosceles triangle is 16 cm.

### What is the third side of an isosceles triangle?

base

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles. The vertex opposite the base is called the apex.

**What are the side lengths of an isosceles triangle?**

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

**What is the formula for perimeter of a isosceles triangle?**

Since an isosceles triangle has two equal sides, its perimeter can be calculated if the base and the equal sides are known. The formula to calculate the perimeter of an isosceles triangle is P = 2a + b where ‘a’ is the length of the two equal sides and ‘b’ is the base of the triangle.

#### What are the sides of an isosceles triangle?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

**What is the area of any triangle?**

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

**How to calculate the area of an isosceles triangle?**

The two sides in an Isosceles triangle are equal. These sides of the angles formed at the point where the bases are joined are also equal in length. Use this simple online Area of an Isosceles Triangle Calculator to find its area. Enter the known values of base length and side length and then click calculate button to get the resulting area.

## What do you call the legs of an isosceles triangle?

In an isosceles triangle, we call the two equal sides the legs of the triangle, and we call the other side the base of the triangle. The points at which the sides of the triangle meet are called vertices, and the length from the center of the base to the vertex (single of vertices) opposite the base is called the height of the triangle.

**How do you find the base of a triangle?**

If your triangle has three equal sides (equilateral), you can pick any one to be the base. An equilateral triangle is a special type of isosceles, but you can find its area the same way. Draw a line between the base to the opposite vertex. Make sure the line hits the base at a right angle.

**How do you find the area of a triangle?**

Use the perimeter to find the sides of the triangle (3x + 10 = 100). Then use half the largest side and one of the equal sides to find the height through the Pythagorean Theorem. Finally, use the newly found height and the largest side of the triangle as its base in the formula to find a triangle’s area.