Construction of Triangles

Q.

Is it possible to construct a triangle with lengths of its sides as $4cm$, $3cm$ and $7cm$? Give reason for your answer.

Q. Find the perimeter of an equilateral triangle whose side is x unit.

1. 2x
2. 2x+y
3. 4x
4. 3x

Q.

It is possible to construct a triangle ABC in which AB = 5cm, $\angle$B = ${45}^{\circ }$ and (BC + AC) = 5cm.

True or False?

1. True

2. False

Q. Draw a triangle using the dimensions shown below.

Q. Instrument used to draw circles is

1. set square
2. protractor
3. compass
4. none of these

Q. Write the names of seven angles
.​​

Q. Which among the following angles cannot be constructed just by using set squares?

1. 75 degree
2. 135 degree
3. 40 degree
4. 180 degree

Q.

The construction of a $∆ABC$ in which $BC=6cm$, $\angle B=50°$ is not possible when $(AB-AC)$ is equal to

1. $5.6cm$

2. $5cm$

3. $4.8cm$

4. $6cm$

Q. Construct a right angled triangle $XYZ$ with $XY=4.5cm$ and hypotenuse $YZ=6cm$.

Q.

Fill in the Blank.

A triangle with sides measuring $6\mathrm{cm},5\mathrm{cm},\mathrm{and}12\mathrm{cm}$ is ___ to draw.