Equilateral | MCQs

Explanation

Joining the midpoints of an equilateral triangle forms 1 smaller triangle inside.

That smaller triangle and 3 corner triangles (each between a vertex and midpoints) make a total of 4 triangles.

Explanation

The formula for the perimeter of an equilateral triangle is P = 3 × side.

Given P = 15 cm, solving 15 ÷ 3 = 5 cm.

Explanation

1. • The height $h$ of the equilateral triangle is $\frac{\sqrt{3}}{2}x$.

   • Using the area formula for a triangle ($\text{Area}=\frac{1}{2}\times \text{base}\times \text{height}$):

     $$\mathrm{<b><font\; color="\#0000ff">A</font></b>}<b><font\; color="\#0000ff">=</font></b>\frac{\mathrm{<b><font\; color="\#0000ff">1</font></b>}}{\mathrm{<b><font\; color="\#0000ff">2</font></b>}}<b><font\; color="\#0000ff">\times </font></b>\mathrm{<b><font\; color="\#0000ff">x</font></b>}<b><font\; color="\#0000ff">\times </font></b>\frac{\sqrt{\mathrm{<b><font\; color="\#0000ff">3</font></b>}}}{\mathrm{<b><font\; color="\#0000ff">2</font></b>}}\mathrm{<b><font\; color="\#0000ff">x</font></b>}<b><font\; color="\#0000ff">=</font></b>\frac{\sqrt{\mathrm{<b><font\; color="\#0000ff">3</font></b>}}}{\mathrm{<b><font\; color="\#0000ff">4</font></b>}}{\mathrm{<b><font\; color="\#0000ff">x</font></b>}}^{\mathrm{<b><font\; color="\#0000ff">2</font></b>}}$$

Explanation

An equilateral triangle has three sides of equal length, and each interior angle measures 60 degrees.