Question

Help me out please please

Answer 1

Answer:

To find the altitude of the given equilateral triangle.

Altitude cuts the side at 90 degrees.

Wehave that,

In right angled triangle, a side opposite to 90 degree is hypotenuse,

Consider any other angle of the triangle as theta, then we get,

$\sin\theta=\frac{opposite\text{ side}}{hypotenuse}$

Here, let theta= 60 degree, we get,

Opposite side= a

hypotenuse= 6

Substitute th values we get,

$\sin60\degree=\frac{a}{6}$$\frac{\sqrt{3}}{2}=\frac{a}{6}$$a=\frac{6\sqrt{3}}{2}$$a=3\sqrt{3}$

Answer is:

$a=3\sqrt{3}$