What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
1 answer:
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Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.
So,
If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2
So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18
From these -2 and 18 is available in the options. So this is the correct answer.
So,
If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2
So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18
From these -2 and 18 is available in the options. So this is the correct answer.