Answer:
Step-by-step explanation:
Angle JKL is similar to angle PQR. This means that the ratio of the length of each side of ∆JKL to the length of the corresponding side of ∆ PQR is constant. Therefore,
JK/PQ = KL/QR = JL/PR
Therefore,
x/28 = 38/42
Cross multiplying, it becomes
x × 42 = 28 × 38
42x = 1064
Dividing the left hand side and the right hand side of the equation by 42, it becomes
42x/42 = 1064/42
x = 25.33 rounded up to the nearest 2 decimal places.
