in a 30 60 90 triangle with one of the legs being 30 cm which one of the measurements is NOT associated with this triangle 10 square root of 3, 20 square root of 3, 30 square root of 3, or 60 square root of 3 and why.
+128661 The ratios of the sides in this triangle in this triangle are as follows:
1, sqrt(3), 2
If 30 cm is the shortest side [ shortest leg] ......the next shortest side [ the longer leg] would be 30* sqrt(3) and the hypotenuse would be 60
If 30 cm is the longest leg.....then the shorter leg = 30/sqrt(3) = 30sqrt(3)/3 = 10 sqrt(3) and the hypotenuse would be 30*2/sqrt(3) = 60/sqrt(3) = (60/3)sqrt(3) = 20 sqrt (3)
So..... 10sqrt(3), 20sqrt(3) and 30sqrt(3) are all possible, but 60 sqrt(3) is not
