CBSE Class 10-Mathematics: Questions and Answers Chapter – 6 Triangles Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 11:

In the given figure, and . What is the ratio of the area of to the area of ?





Question 12:

A right-angle triangle has hypotenuse of length and one side of length . If , Find the length of third side of the triangle.

A Right-Angle Triangle Has Hypotenuse


Let third side

Then by Pythagoras theorem,

Question 13:

The length of the diagonals of a rhombus are and . Find each side of rhombus.


The Length of the Diagonals of a Rhombus

From right-angled

Hence each side

Question 14:

In an isosceles right-angled triangle, prove that hypotenuse is times the side of a triangle.


Let hypotenuse of right-angled and equal sides of triangle units

By Pythagoras theorem,