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.

A right-angle triangle has hypotenuse

A Right-Angle Triangle Has Hypotenuse

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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:

The length of the diagonals of a rhombus

The Length of the Diagonals of a Rhombus

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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,