Use matrices to determine the coordinates of the vertices of the rotated figure. with vertices MNP M(-2, 6), N(7,1), and P (4,-3
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In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
Learn more about Pythagorean theorem here:
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