# CBSE Class 10-Mathematics: Questions and Answers Chapter –6 Triangles Part 6

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**Question 11:**

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

**Answer:**

in

Also

Hence,

**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.

**Answer:**

Let third side

Then by Pythagoras theorem,

**Question 13:**

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

**Answer:**

From right-angled

Hence each side

**Question 14:**

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

**Answer:**

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

By Pythagoras theorem,