# What do we know about triangles on the same base and between the same parallel lines?

## What do we know about triangles on the same base and between the same parallel lines?

The area of each triangle is half of the area of any parallelogram on the same base and between the same parallels. Thus, the area of the two triangles is the same.

**What is the relationship in triangles if they are in same base and between same 1 parallels write the theorem statement?**

Theorem 1: Two triangles on the same base (or equal bases) and between the same parallels are equal in area. In other words, area of a triangle is half the product of its base (or any side) and the corresponding altitude (or height).

**What is the relation between area of triangles standing on same base and between the same parallels?**

If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to half the area of the parallelogram.

### What is the relation between area of two triangles if they have common base and equal height?

The ratio of the areas of two triangles of the same height is equal to the ratio of their bases.

**What is the relation of between the area of triangle?**

The sides of a triangle; that is, the perimeter of that triangle are related to the Area by the formula for Area = 1/2 Base x Altitude.

**How do you find the area using ratios?**

To find the area ratios, raise the side length ratio to the second power. This applies because area is a square or two-dimensional property. We can use this idea of similarity and apply it to area.

#### Do triangles have the same area?

Any triangles with the same perimeter and area and with one side the same are congruent. The area of a triangle is half of the product of the base and the perpendicular height, so given the base and the area, the height is fixed.

**How do you draw a triangle with the same area?**

Steps

- A straight line PQR parallel to base BC is drawn with the help of a ruler and a compass.
- B and C may be joined with any point on the line PQR to get a triangle equal in area of triangle ABC. Here ΔPBC,ΔQBC,ΔRBC are three triangles drawn , which are equal in area of ΔABC.