A median of triangle

Geometry Level 3

What is the value of $\dfrac{ |AE|^2 + |BF|^2 }{|AB|^2 }$ ?

The answer is 1.25.

1 solution

Novril Razenda
Jul 2, 2016

Nice problem!

I would like to recommend that you specify the triangle as being right... One cannot assume such unless given so, and that might cause you to encounter some reports...

Manuel Kahayon - 4 years, 11 months ago

Thanks :) , but until now, There's no report :)

Novril Razenda - 4 years, 11 months ago

Just a precaution. But, I think everyone must have at least enough common sense to deduce it is a right triangle, so I think no need.

Manuel Kahayon - 4 years, 11 months ago

@Manuel Kahayon – Yeah, I think so :)

Novril Razenda - 4 years, 11 months ago

@Novril Razenda – Just edit it .

Vishwash Kumar ΓΞΩ - 4 years, 7 months ago

@Vishwash Kumar Γξω – I don't think he's still online. It's been a long time since this problem has been posted, and his day streak is 0 now...

Manuel Kahayon - 4 years, 7 months ago

@Vishwash Kumar Γξω – Which implies there's no one left to edit the problem. BTW, happy halloween!

Manuel Kahayon - 4 years, 7 months ago

@Manuel Kahayon – I think so , but anyone can easily spot this out that angle C = 90

Vishwash Kumar ΓΞΩ - 4 years, 7 months ago

@Manuel Kahayon – although , any staff can do it .

Vishwash Kumar ΓΞΩ - 4 years, 7 months ago

A median of triangle

The answer is 1.25.

1 solution

0 pending reports