Triangle JKL ~ Triangle PQR What is the value of x? Round your answer to the nearest two decimal places.
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Answer:
25.33
Step-by-step explanation:
given triangle PQR ~ triangle JKL
the ratio of the lengths of their sides are the same
i.e
[tex]\frac{KL}{QR} =\frac{JK}{PQ} =\frac{JL}{PR}[/tex]
in our case, we are given JL, PR and PQ and we are asked to find JK
hence
JK/PQ = JL/PR (rearranging)
JK = (JL/PR) x PQ
= (28/42) x 38
= 25.33333
= 25.33 (2 dec. pl)