Triangles

**Category : **10th Class

In this chapter we will discuss about the similarity of triangles. Two figures having the same shape and not necessarily the same size are called the similar figures. Two polygons of the same number of sides are similar if their corresponding angles are equal and their corresponding sides are in the same ratio.

Two triangles are similar, if their corresponding angles are equal and their corresponding sides are in the same ratio. The ratio of any two corresponding sides in two equiangular triangles is always the same.

** Basic Proportionality Theorem**

It states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in the distinct points, the other two sides are divided in the same ratio. Conversely, If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side of the triangle.

** Area of Similar Triangles**

It states that the ratio of area of two similar triangles is equal to the square of the ratio of their corresponding sides.

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