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Q: How do you find the adjacent side's length if you have the angle and the opposite side length?
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How do you calculate the length of the opposite and adjacent sides in a right angle triangle if you know the length of the hypotenuse and the angle between the adjacent and hypotenuse?

the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/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)


How does the pythagorean theorem relate the sides length of a right triangles?

The sum of the squares of the sides adjacent to the right angle equals the square of the side opposite it.


What are the classification of angle according to sides?

Cosine = adjacent/hypotenuseSine = opposite/hypotenuseTangent = opposite/adjacentSecant = hypotenuse/adjacentCosecant = hypotenuse/oppositeCotangent = adjacent/opposite


What is the relationship among a right triangle?

There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).

Related questions

Find hypotenuse only using opposite and angle?

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.


How do you calculate the length of the opposite and adjacent sides in a right angle triangle if you know the length of the hypotenuse and the angle between the adjacent and hypotenuse?

the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/hypotenuse..


What is the name for the sides of a right triangle that are adjacent to the right angle?

Opposite and adjacent sides.


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)


How does the pythagorean theorem relate the sides length of a right triangles?

The sum of the squares of the sides adjacent to the right angle equals the square of the side opposite it.


How do you determine which is the adjacent side of a right triangle?

There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).


What are the types of sides in trigonometry?

They are: opposite, adjacent and hypotenuse sides for a right angle triangle


What are the classification of angle according to sides?

Cosine = adjacent/hypotenuseSine = opposite/hypotenuseTangent = opposite/adjacentSecant = hypotenuse/adjacentCosecant = hypotenuse/oppositeCotangent = adjacent/opposite


I am a quadrilateral that has 4 right angles. My opposite sides are parallel and of equal length. What figure am I?

A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.


What are two sides of the right triangle that are not opposite to the right angle?

They are the adjacent and the opposite sides with the hypotenuse being the longest side


What is the different between a kite and a parallelogram?

Both shapes have 4 sides, two pairs equal in length. In a parallelogram the equal length sides are opposite each other. In a kite the equal length sides are adjacent.


How do you find the angle adjacent to the hypotenuse?

Remember SOHCAHTOA which means, the Sin of an angle is equal to the Opposite side divided by the Hypotenuse, the Cos of an angle is equal to the Adjacent side divided by the hypotenuse, and the Tangent of an angle is equal to the Opposite side divided by the Adjacent side. So as long as you have two sides of a right triangle, then you can find the angles and the length of the third side.