What do you suppose is true about a sum added to its opposite?

1 answer:

6 0

Opposite number, also called the additive inverse, is by defition a number that if you add it to its opposite, the result will be 0!!!

so you know that a number added to its opposite will be 0!

in practice this means that it's the same value with the opposite sign.

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Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL

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The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML. Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$