# Is the area of a square is equal to the area of a triangle?

Table of Contents

## Is the area of a square is equal to the area of a triangle?

Area of a square with side x is equal to the area of a triangle with base x.

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

The area of each triangle is one-half the area of the rectangle. So, 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.

**Why is the area of a triangle half base times height?**

Why is the Area of a Triangle One Half Base Times Height Since the area of a rectangle is base × height, the area of a triangle is 1 / 2 × base × height. Here is another example of a triangle that is half the size of a rectangle. The area of the rectangle is 10 × 6 = 60 mm2 and the area of the triangle is half of this.

### What is base of a triangle?

Answer: The bottom line of a triangle is the base of the triangle, and it can be one of the three sides of the triangle. In a triangle, one side is a base side and the remaining two sides can be the height or the hypotenuse side.

**How do you make a square equal to the area of a triangle?**

Steps

- The base BC=b of the given ΔABC is bisected.
- Perpendicular h from A to BC is drawn.
- line segment of length h is cut off from the extended part of BC.
- Line segment of length b2+h is bisected and a semicircle is drawn taking b2+h as diameter.
- Perpendicular CD on BC is drawn , which intersects semicircle at D .

**Whose formula is half into base into height?**

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h. This formula is applicable to all types of triangles, whether it is a scalene triangle, an isosceles triangle or an equilateral triangle.

#### What is the area of a triangle with base b and height?

To be noted, the base and height of the triangle are perpendicular to each other. The unit of area is measured in square units (m2, cm2). Example: What is the area of a triangle with base b = 3 cm and height h = 4 cm? Area of a Triangle, A = 1/2 × b × h = 1/2 × 4 cm × 3 cm = 2 cm × 3 cm = 6 cm 2.

**How do you find the area of an equilateral triangle?**

Area of an Equilateral Triangle = A = (√3)/4 × side 2 Area of an Isosceles Triangle An isosceles triangle has two of its sides equal and also the angles opposite the equal sides are equal. Area of an Isosceles Triangle = A = ½ (base × height)

**How do you find the height of a triangle with sides?**

where, s is semi-perimeter of the triangle = s = (a+b+c) / 2. We have seen that the area of special triangles could be obtained using the triangle formula. However, for a triangle with the sides being given, calculation of height would not be simple.

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

If the length of the equal sides and the length of the base of an isosceles triangle are known, then the height or altitude of the triangle is to be calculated using the following formula: The Altitude of an Isosceles Triangle = √ (a2 − b2/4)