R S Aggarwal Solutions for Chapter: Properties of Triangles, Exercise 4: EXERCISE 15D

The lengths of the sides of triangles are $a=9 \mathrm{cm}$, $b=12 \mathrm{cm}$ and $c=16 \mathrm{cm}$. Check whether it is right-angle triangle?

The lengths of the sides of triangles are $a=10 \mathrm{cm}$, $b=24 \mathrm{cm}$ and $c=26 \mathrm{cm}$. Check whether it is right-angle triangle? 

In a $∆ABC$, $\angle B=35°$ and  $\angle C=55°$. Check whether the following is true: 

$A{B}^2=B{C}^2+A{C}^2$

In a $∆ABC$, $\angle B=35°$ and  $\angle C=55°$. Check whether the following is true: 

$B{C}^2=A{B}^2+A{C}^2$

Find the perimeter of a rhombus, the lengths of whose diagonals are $16 \mathrm{cm}$ and $30 \mathrm{cm}$.

In a right triangle, the square of the hypotenuse is equal to the______of the squares of the other two sides.

If the square of one side of a triangle is equal to the sum of the squares of the other two sides then the triangle is______.

Of all the line segments that can be drawn to a given line from a given point outside it, the______is the shortest.