Is the hypotenuse the shortest route?

The “c” is the hypotenuse, and although it represents the longest side of a right triangle, it is the shortest path between the two points on either end. But the hypotenuse isn’t always the shortest route. In fact, it is only the shortest one on football fields and other flat surfaces.

Is the hypotenuse the longest or shortest side?

The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

Is the hypotenuse shorter than both sides?

Since a right angle is half that (90°), it has to be the biggest angle in the triangle and the side across from it will always be the longest. …

What do you mean by hypotenuse?

Definition of hypotenuse 1 : the side of a right-angled triangle that is opposite the right angle. 2 : the length of a hypotenuse.

What is called hypotenuse?

Is the hypotenuse the sum of the other sides?

Yes. Pythagoras’ theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Is the hypotenuse of a right triangle always the shortest distance?

The hypotenuse of a right triangle is not always the shortest distance between the two points that define it

How do you find the altitude of the hypotenuse?

Draw the altitude of the hypotenuse on the triangle. The two new triangles you have created are similar to each other and the main triangle. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude.

What does hyphypotenuse mean?

Hypotenuse means, the longest side of a right-angled triangle compared to the length of the base and perpendicular. The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle.

How do you find the hypotenuse of a triangle with one leg?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.