Q: The hypotenuse of a 30-60-90 triangle has a length of 17 what is the length of the side opposite the 60 angle?

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The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.

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.

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.

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.

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)

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You get the sine of the angle. For a right triangle: sin (x) = opposite/hypotenuse cos (x) = adj./hypotenuse tan (x) = opposite/adj

Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.

sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse

The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.

its the cosine.. thanks to the dude up there i got it wrong and that was my answer for 4.1.3.

In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.

If a right triangle is 12.5 meters and the side opposite a 30 angle, the hypotenuse length will be: 14.43 meters.

The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.

12.99

The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.

22, The shortest side is opposite the smallest angle. As it is a right angle triangle, the Sine ratio can be used: Sine = opposite/hypotenuse ⇒ hypotenuse = opposite/sine = 11/sine 30o = 11 ÷ 1/2 = 22

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.