Write a set of lengths of three sides of 300-60⁰-90⁰ triangle, whose length of hypotenuse is a multiple of 5 (Justify with reason).
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A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2.
Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.
The easiest way to remember the ratio 1: √3: 2 is to memorize the numbers; “1, 2, 3”. One precaution to using this mnemonic is to remember that 3 is under the square root sign.
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