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. 1:2​
C. 1:2
D. 1:5​
E. 1:5
Solution:
In any right triangle (see accompanying figure), we have x⋅c=a2 and (c−x)c=b2.
