Question

What is the height of the triangle?

Answer 1

Answer:

(B)24 Units

Step-by-step explanation:

Triangle MNO is an equilateral triangle with sides  measuring $16\sqrt{3}$ units.

The height divides the base into two equal parts of lengths $8\sqrt{3}$ units.

As seen in the diagram, we have a right triangle where the:

• Hypotenuse =  $16\sqrt{3}$ units.
• Base = $8\sqrt{3}$ units.

Using Pythagoras Theorem

$(16\sqrt{3})^2=(8\sqrt{3})^2+h^2\\16^2*3-8^2*3=h^2\\h^2=576\\h=\sqrt{576}\\ h=24 units$

The height of the triangle is 24 Units.