Problem: If the ratio of the legs of a right triangle is 1:2, then the ratio of the corresponding segments of the hypotenuse made by a perpendicular upon it from the vertex is:
Answer Choices:
A. 1:4
B. 1:2β
C. 1:2
D. 1:5β
E. 1:5
Solution:
In any right triangle (see accompanying figure), we have xβ c=a2 and (cβx)c=b2.