In arithmetic, the Pythagorean hypothesis, otherwise called
Pythagoras' hypothesis, is a central connection in Euclidean geometry among the
three sides of a correct triangle. It expresses that the square of the
hypotenuse (the side inverse the correct edge) is equivalent to the whole of
the squares of the other two sides. The hypothesis can be composed as a
condition relating the lengths of the sides a, b and c, regularly called the
"Pythagorean condition": a^2+b^2=c^2
It is
similar
Since RAH is twice as large as EAC, all angles
have the same size, so they are similar.
The lengths:
AH= ACx2
=12
RA = AEx2
=7
RA^2+AH^2=RH^2 (pythagoras theorem)
7^2+12^2 = RH^2
RH = 13.89 (correct to 2 decimal places)
