If one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.
According to the question,
We have the following information:
A right triangle contains a 25° angle and length of one leg is 5 inches.
Now, the leg for which length is given can be opposite to given angle or adjacent to given angle. So, there are two possible for the length of hypotenuse (H).
Now, when it is opposite to the given angle:
Sin 25 = 5/H
H = Sin 25*5
H = 0.4226*5
H = 2.113 inches
Now, when it is adjacent to the given angle:
Cos 25 = 5/H
H = Cos 25*5
H = 0.9063*5
H = 4.5315 inches
Hence, if one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.
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