Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR. 40

17

15

42

52

67

65

14

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)