Find the missing lenghts of the sides

See attached picture

Step-by-step explanation:

The ratios of sides in a 30°-60°-90° triangle are ...

... 1 : √3 : 2

Multiplying these ratio units by 3 inches, we get the side lengths to be ...

... 3 in : 3√3 in : 6 in

Thus, a = 3 in; b = 3√3 in.

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Alternate solution

Or, you can work from your memorized values of the trig functions of 30° and 60°.

... sin(30°) = a/(6 in) = 1/2 . . ⇒ . . a = (1/2)·6 in = 3 in

... cos(30°) = b/(6 in) = (√3)/2 . . ⇒ . . b = (√3)/2·6 in = 3√3 in

42

step-by-step explanation:

256/6=42

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step-by-step explanation:

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