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What can you say about the sides of a triangle opposite the largest angle?
The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.
How do you find the length to a missing side of a right triangle?
Pythagorean Theorem: a2 + b2= c2 where c is the hypotenuse of a right triangle. Hypotenuse is the side of a right triangle opposite to the right angle.
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
How do you use sine in math?
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
