AP Class 10 Maths Chapter 8 Similar Triangles

The geometrical figures that have the same shape but not necessarily the same size are called similar figures. We consider two polygons to be similar In AP Class 10 Maths Chapter 8 Similar Triangles, we learn about the characteristics of similar triangles.

Types of Similarity in Triangles

Three types of similarity are possible between two triangles, the three types of similarity in a triangle are

  • AAA similarity – If the corresponding angles of the two triangles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.
  • SSS similarity – If the corresponding sides have the same ratio, then the corresponding angles are equal and hence the triangles are similar.
  • SAS similarity – If an angle of one triangle is equal to the angle of another triangle and the sides including these angles have the same ratio then the triangles are said to be similar.

Class 10 Maths Chapter 8 Similar Triangles Important Questions

  1. Equilateral triangles are drawn on the three sides of a right-angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.
  2. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals
  3. ABC is an isosceles triangle right angled at C. Prove that \(AB^2=2AC^2\).

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Practise This Question

A circle of radius 5 cm has a chord of length 8 cm. Tangents drawn at the end points of the chord meet at a point. Find the perimeter of the triangle formed by the chord and the tangents.