RD Sharma Class 10 Solutions Chapter 4 - Exercise 4.3

Chapter 4 Triangles of Class 10 deal with the many earth Matic operations that can be performed on triangles. The chapter mainly explains in-depth about congruent triangles as two figures which have the same shape but don’t necessarily have the same size also called similar figures. Pythagoras theorem taught in earlier classes comes in handy in this chapter. 

RD Sharma explains the various concepts discussed in this chapter in-depth the innumerable number of practice questions give the students a much-needed boost to get ahead in the class and also helps them to apply theorems quickly. Vedantu acts as a one-stop destination for all your queries and study material that is needed to ace the examination. RD Sharma Class 10 solution Chapter 4 Triangles  Exercise 4.3 can be downloaded for free on the Vedanta website without any hassle.

Important Theorems

Important theorems discussed in Class 10 Chapter Triangles are-

Theorem 1- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Theorem 2- If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 3- If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.

Theorem 4- If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar.

Theorem 5- If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

Theorem 6- The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Theorem 7- If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Theorem 8- In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Theorem 9- In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.