Properties of an Equilateral Triangle

Q.

An exterior angle is drawn to a triangle; if this exterior angle is acute, then what type of a triangle will be formed?

Q. The triangle which has equal side lengths is called an triangle.

Q.
If $\Delta PQR$ is an equilateral triangle and $PA$ is the angle bisector of $\angle P$, then $\Delta PQA\cong \Delta PRA$?

1. Yes
2. No
3. Data Insufficient

Q. A triangle with three equal interior angles is called an equiangular triangle, where each angle measures ${60}^{\circ }$.

1. True
2. False

Q.

Find the area of an isosceles triangle having base $acm$ and one side $bcm$.

Q. A triangle has all the side lengths equal. Find the exterior angles.

1. ${60}^o$
2. ${90}^o$
3. ${120}^o$
4. ${150}^o$

Q. Altitude of an equilateral triangle is $h$ unit. Find the dimension of its side.

1. $\frac{2}{\sqrt{3}}h$ unit
2. $\frac{2}{3}h$ unit

Q. Altitude of an equilateral triangle is $h$ unit. Find its area.

1. $\frac{1}{\sqrt{3}}{h}^2$ unit${}^2$
2. $h^2$ unit${}^2$
3. $\frac{2}{\sqrt{3}}{h}^2$ unit${}^2$

Q. Exterior angles of a triangle are ${120}^o$ each. One side of the triangle is $6$ cm. Find the dimension of the other two sides.

1. $3$ cm
2. $4$ cm
3. $6$ cm
4. $12$ cm