Properties of an Equilateral Triangle

Q.

Two sides of a triangle are $12cm$ and $14cm$. The perimeter of the triangle is $36cm$. What is its third side?

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. Is it true that all the angles of an equilateral triangle are equal? If so, what is each angle's measurement?

1. No
2. Yes, ${50}^{\circ }$
3. Yes, ${60}^{\circ }$
4. None of the above

Q. All the equilateral triangle present in the universe are

1. Congruent
2. Equiangular
3. Acute angled triangle
4. $\left(b\right)$ and $\left(c\right)$ both

Q. An equilateral triangle $△ABC$ is given whose perpendicular is $6\sqrt{3}$ cm. what is the perimeter of triangle?

1. $12$ cm
2. $36$ cm
3. $18\sqrt{3}$ cm
4. $24$ cm

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

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