Question

Question #a86ed

Answer 1

See explanation.

Explanation:

If we assume that the side of the triangle is `a` then we can write that:

• `AL=(asqrt(3))/2` - `AL` is a height in an equilateral triangle.

• `CL=BL=a/2` because `AL` is also the bisector of the triangle's side `BC`

so `AL^2=3/4a` and `BL^2=a^2/4`, so `AL^2=3BL^2`

QED