Question

Help me out please please

Answer 1

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=(a)/(6)`
`(√(3))/(2)=(a)/(6)`
`a=(6√(3))/(2)`
`a=3√(3)`

Answer is:

`a=3√(3)`