Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?

Consider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle, 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct ?

Two triangles are similar if their corresponding sides are ………….

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

Prove that for a given correspondence, if three angles of one triangles are congruent to the corresponding three angles of the other triangle, then the two triangles are similar.

Find the perimeter of an equilateral triangle with side 8 cm.

If two sides and a median bisecting one of these sides of a triangle are respectively proportional to the two sides and corresponding median of another triangle; then triangle are similar.

Find the perimeter of an equilateral triangle with side 9cm.

Perimeter of a triangle the sum of the lengths of the sides of a triangle is called its perimeter.

The ratio of the area of two similar triangle is 4:5 , the ratio of their corresponding sides are :