Answer:
The value of x is 30 and y is 14
Explanation:
Here, In given triangle,
∆JLK is similar to ΔPQR
JL is corresponds to PQ.
So, we have the ratio, 21/y ...(1)
Now,
LK is corresponds to QR.
So, we have the ratio, 18/12 = 3/2 ...(2)
Now,
JK is corresponds to PR.
So, we have the ratio, x/20 ...(3)
Then, (1) = (2) = (3)
21/y = 3/2 = x/20 ...(*)
Now, Cross Multiply by (1) and (2) we get,
21 × 2/y × 3
42 = 3y
3y = 42
y = 42/3
y = 14
Here, we get the value of y is 14. So, we will put the value of y in (1) we get,
21/y = 21/14
So, by (*) we get
21/14 = 3/2 = x/20
Then, Cross Multiply with (2) and (3) we get,
3/2 = x/20
20 × 3 = 2 × x
60 = 2x
2x = 60
x = 60/2
x = 30
Thus, The value of x is 30 and y is 14
FOR VERIFICATION ONLY:-
21/y = 3/2 = x/20
21/14 = 3/2 = 30/20
3/2 = 3/2 = 3/2
-TheUnknownScientist