March 2018

For those of you not familiar with Hansen's Theorem, it is very useful when deriving the radii of the excircles of a right triangle. It states that the Sum of the squares of the radii of the three excircles of a right triangle, plus the square of the radius of its incircle is equal to the sum of the squares of the sides of the triangle.

The theorem also shows an elegant and quick method for calculating the radii of the 3 excircles of the triangle, and proves that the Sum of the 4 radii is equal to the Perimeter of the triangle.

Pahelp naman po.
Paano mo gagawin dito? Paano din po ung solution. Thank you po.

PROPOSITION: The hypotenuses of two dissimilar right triangles “A” and “B”, are twice the legs of a known right triangle “C”, and the altitude to hypotenuses in each of A and B triangles are identical to that in C.

HYPOTHESIS: The sum of the greater segments on each of the hypotenuses of A and B, caused by the altitude to hypotenuse in C, will equal the Perimeter of C.

For instance, triangle C can be any right triangle whose 3 sides are known.

Let “m” and “n” be the long and short legs, respectively, of C.

Let "d" be the altitude to hypotenuse of C.

Hello guys, how can I solve for the projectile's speed, horizontal distance and maximum height reached if the only given in the problem is the time of flight and the angle of inclination from the horizontal.
The projectile is thrown from the cliff by the way, thanks :)

Help me solve this problems.Thanks. :)

Please Help. (1+e^(x) y+x e^(x) y) dx + (x e^(x) + 2)dy=0

Help please.
(1+e^(x) y+x e^(x) y) dx + (x e^(x) + 2) dy=0

Laplace of e^5t+1(t sin (t))

I just want to ask sir if it is possible to have a PDF copy of all the discussions/topics of this site? I just want to have one for me to have hard copy reference. :) please help me 3

A steel ring of outer diameter 300mm and internal diameter of 200mm is shrunked unto a solid steel shaft , the interference is arranged such that the radial pressure between the meeting surfaces will not fall bellow 300MN/m^2 while the assembly rotates in circles. If the maximum circumferencial stress on the inside of d surface of the ring is limited to 240MN/m^2. Determine the maximum speed at which the assembly can be rotated . Assuming that no relative slip occur between the shaft and the ring.