If point P (shown above) makes one complete revolution around the tria

IanStewart can you provide further explanation?
from dictionary -> Revolution:" a procedure or course, as if in a circuit, back to a starting point." we have a triangular circuit

The definition of a circuit is "a roughly circular line, route, or movement that starts and finishes at the same place" from Oxford, and "revolution" is only used (in the sense in which the question here is trying to use it) to describe approximately circular motion:

https://www.etymonline.com/word/revolution

Ian, I agree with your explanation, in my language circuit refers to a general path, not to a path which possess some desiderable property.
Anyway in the link providing the revolution definition it is stated that revolution can be a recurrent event...
And circuit: "a roughly circular line, route, or movement".
I know continuity, in particula C1, can be importan because if we were to change direction instantaneusly we would use an infinity amount of energy, and it is not possible to do so, but for the sake of the exercise the given speed is constant (avarege theorem of a continuous function representing the speed magnitude) and with the term circuit it is intended a general route. Maybe the situation has been obtained from discrete time measurments and this explain why the circuit is not C1.
But i think this is out of scope.

Thanks for the answer and your time, I always enjoy your posts.
Have a good day

R

I think the answer to this question is (A). Here are a few reasons against condition (2).

* There is no universally agreed definition on what accounts for one complete revolution around a triangle.
* There are three heights in one triangle.
* Condition (1) and (2) should not contradict with each other. But it is hard to imagine a revolution that is 15 unit. Even if we can, merely knowing one height is insufficient to connect all the dots.

zhanbo

The 2 options are inconsistent.

If we go by option A, we get the third side = 5cm ,=> the triangle is equilateral.

All three heights of an equilateral triangle are the same, and is = \sqrt{3}/2 * (side), where side = 5 in our case.

Hence, if A is true, the height cannot be 4.

So, the OA is D. Can you make sense of it?