Answer:
Step-by-step explanation:
To find the length of JK, we can use the fact that the ratio of KL is 2:7.
Let's assume the length of JK is x.
According to the given information, JL = 162, and the ratio of KL is 2:7.
The sum of the ratio parts is 2 + 7 = 9.
Since JL is the sum of JK and KL, we can set up the equation:
JK + KL = JL
Substituting the given values:
x + KL = 162
We also know that the ratio of KL is 2:7. This means the length of KL can be represented as:
KL = (7/9) * JL
Substituting JL = 162, we can find KL:
KL = (7/9) * 162
Now we can substitute KL into the equation:
x + (7/9) * 162 = 162
To solve for x, we can isolate it by subtracting (7/9) * 162 from both sides:
x = 162 - (7/9) * 162
Simplifying the equation:
x = 162 * (1 - 7/9)
x = 162 * (2/9)
x = 2 * 18
x = 36
Therefore, the length of JK is 36.
