S Purkayastha Solutions for Chapter: The Triangle and its Properties, Exercise 11: Test Yourself

The following triplets form the length in $\mathrm{cm}$ of sides of a triangle. State the following form right-angled triangle.

$7, 8, 9$

The following triplets form the length in $\mathrm{cm}$ of sides of a triangle. State the following form right-angled triangle.

$15, 14, 25$

The following triplets form the length in $\mathrm{cm}$ of sides of a triangle. State the following form right-angled triangle.

$12, 16, 20$

The following triplets form the length in $\mathrm{cm}$ of sides of a triangle. State the following form right-angled triangle.

$16, 63, 65$

The following triplets form the length in $\mathrm{cm}$ of sides of a triangle. State the following form right-angled triangle.

$5, 12, 13$

A picture frame has dimension $80 \mathrm{cm}$ and $60 \mathrm{cm}$. What is the length of its diagonal?

The length of hypotenuse of a right-angled triangle is $10 \mathrm{cm}$. If the lengths of the other two sides are in the ratio $3:4$, find the length of the three sides.

A 10 m long ladder is placed against a wall of a building. The foot of the ladder is 6 m away from the bottom of the building. How high against the wall does the ladder reach?