Question

Construct an equilateral triangle with side $4$ centimeters. Find the altitude of the triangle.

• A. $4.5cm$
• B. $2.2cm$
• C. $3.4cm$
• D. $5cm$

Answer 1

The correct option is C $3.4cm$

The steps to construct an equilateral triangle $ABC$ with side length $4cm$ are as follows:

Step 1: Draw base $AB$ of length $4cm.$

Step 2: From $A$, draw an arc of length $4cm.$

Step 3: From $B$, draw an arc of $4cm$ such that it intersects the arc made from $A$. Mark the point of intersection as $C$.



Step 4: Join $A,B,$ and $C$ to complete the equilateral triangle.


Step 5: Draw the altitude of the triangle from vertex $C.\left(CM\right)$

When we measure the length of $CM,$ we get the altitude of the triangle as $3.4cm.$