Question

If the dimensions of triangle rah are twice as large as the corresponding dimensions of triangle eac , calculate length of ra and ah . then, explain if triangle rah is similar to triangle eac .

Answer 1

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)