Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12

There are several ways you can answer this. The law of cosines may be helpful. It tells you

... c² = a² + b² - 2ab·cos(C)

or

... cos(C) = (a² + b² - c²)/(2ab)

If this value is negative, then angle C is obtuse. Since 2ab is always positive, it amounts to finding the sign of

... a² + b² - c²

Of course, for repetitive calculations, a spreasheet or other machine evaluator is helpful.

The results shown in the figure indicate that side lengths {5, 7, 8} result in an acute triangle.

add the table and i will answer correctly

step-by-step explanation:

d

step-by-step explanation: