Problem: If the larger base of an isosceles trapezoid equals a diagonal and the smaller base equals the altitude, then the ratio of the smaller base to the larger base is:
Answer Choices:
A. 1/2
B. 2/3
C. 3/4
D. 3/5
E. 2/5
Solution:
t2=s2+(2t+s​)2,
5s2+2ts−3t2=0=(5s−3t)(s+t)
∴t3​=53​.