STATEMENT (1) The length of one leg is 3/4 the length of the other.
let the length of one leg = 4 than other = 3
area = 6
lenght of one leg = 8 other = 6
area = 24
INSUFFICIENT
STATEMENT (2) The length of the hypotenuse is 5.
--sides of the triangle are integers
hypotenuse = 5
the only possible integer values of legs are 3 and 4 (3,4, and 5 Pythagorean triplet)
--area of triangle = 6
SUFFICIENT
combining both statements together
--we know line passes through (0,0) and (1,n+2)
the slope of the line k = n+2
equation of line k -- (y-0) = (n+2)(x-0) -- y =(n+2)x
line k passes through (n,-1)
-1 = (n+2)n
n2n2+2n+1 = 0
(n+1)2(n+1)2 = 0
n = -1
slope of line = n+2 = -1+2 = 1
Is the slope of line k greater than zero?---YES
从十个人里任意选三个人的集合用combination公式所以就是:10C3 = 120
但需要再减去有夫妻的组合,有5x8=40种可能
所以120-40=80