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Q: What is the relationship between the hypotenuse and a right angle?

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The side opposite the right angle of a right angle triangle is the hypotenuse

It is its hypotenuse

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).

A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.

The Hypotenuse of the opposite of the Right Angle

Related questions

The hypotenuse has no intrinsic relationship to the circle. The hypotenuse is the side of a right triangle that is opposite to the right angle. You can draw a circle that has a hypotenuse as its diameter or its radius, but you can do that with any line segment. It would not be related in another way to the triangle.

In a right angle triangle the side which is opposite to the right angle is the hypotenuse.

The side opposite the right angle of a right angle triangle is the hypotenuse

It is its hypotenuse

The hypotenuse of a right (angled) triangle is the side opposite the right (90 degree) angle. The hypotenuse is also the longest side.The hypotenuse of a right triangle is the side opposite theThe sine of an angle is the side opposite over the hypotenuse of the triangle.

No. A hypotenuse is defined as the side opposite the right angle in a triangle that contains a right angle.

The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'

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).

The hypotenuse is the side opposite the right angle

A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.

As the relationship between the length and angle given are unclear a graphic explanation can be found at the link below

The Hypotenuse of the opposite of the Right Angle

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