How to find the hypotenuse of a triangle with cos?

The hypotenuse of a triangle with a known angle A is equal to the length of the line segment opposite that angle. That line segment is called the leg of the triangle. The other leg of the triangle is equal to the length of the line segment from the vertex opposite the angle A to the opposite vertex that is opposite the angle A.

How to find the hypotenuse of a triangle with area?

You can find the length of the hypotenuse of a triangle by multiplying its sides by its area. Using the Pythagorean Theorem, you can find the area of a triangle by multiplying the length of one of its legs by the length of its base.

Finding the hypotenuse

The hypotenuse of a triangle is the longest side, which is the side opposite the 90-degree angle. If you’re looking at a triangle drawn on a flat surface, your first thought might be to use a handy calculator to find the length of the hypotenuse. However, there is another way to do this using cos.

How to find the hypotenuse of a triangle with cosine and tangent?

Be aware that what you will get is the length of the line segment between the two points, so it will not be the actual length of the triangle’s hypotenuse! To find the length of the hypotenuse, you can use Pythagorean Theorem. If you know the length of the two sides of the triangle and the angle between them, you can find the length of the hypotenuse.

How to find the hypotenuse of a triangle with cosine?

We have seen that the cosine of an acute triangle is equal to the area of the triangle divided by the square of the base. The hypotenuse is the side opposite the 90° angle, so the hypotenuse of an acute triangle is simply the length of the side opposite the 90° angle, which is the same as the length of the base.