Jharne De and Ranjana Kumar Solutions for Chapter: Properties of Triangles, Exercise 6: Test Paper 2

If the angles of a triangle are in the ratio $2 : 3 : 4$, find the measures of all angles.

Perimeter of the rectangle$=\mathrm{\_\_\_\_\_} \mathrm{cm}$

             

Identify the largest and smallest angles in triangle $△PQR.$

The measures of the two sides of a triangle are $12 \mathrm{cm}$ and $15 \mathrm{cm}$. What are the minimum and maximum possible lengths of the third side?

Find $\angle P, \angle Q$ and $\angle R$

        

In the figure given below, $AC=15 \mathrm{cm}, AD=3 \mathrm{cm}, BD=9 \mathrm{cm}$ and $DE=4 \mathrm{cm}$. Also $\angle ABC=90°$ and $BC\parallel DE.$ Find the lengths of $AE$ and $BC$.
              
     

The roof of a building is $8 \mathrm{m}$ high. A rope is tied from the roof to a peg on the ground $6 \mathrm{m}$ away from the wall of the building. The length of the rope$=\mathrm{\_\_\_\_\_} \mathrm{m}$

Two aeroplanes leave from the same airport. One heads north and the other heads east. After some time, the northbound aeroplane has travelled $16 \mathrm{miles}$, while the eastbound aeroplane has travelled $12 \mathrm{miles}$. Distance between the two aeroplanes$=\mathrm{\_\_\_\_\_} \mathrm{miles}$