Question

This question is hard ash need help

Answer 1

Answer:

The value of x is 30 and y is 14

Step-by-step 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