Answer:
1. x = 28; y = 14√3
2. x = 9√2
Step-by-step explanation:
For these, it is helpful to remember that the side lengths of a 30°-60°-90° triangle have the ratio 1 : √3 : 2, and those of a 45°-45°-90° triangle have the ratio 1 : 1 : √2.
1. 14 is the shortest side, and x is the longest side, so ...
x = 2·14 = 28
y = (√3)·14 = 14√3
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2. 18 is the longest side and x is the shortest side of this 45°-45°-90° triangle, so ...
x·√2 = 18
x = 18/√2 = 18·(√2)/2 = 9√2
