What are the legs of a right triangle?

What are the legs of a right triangle?

Legs of a Right Triangle. The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse.

What is the difference between the legs and hypotenuse of a triangle?

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

Can the legs ever be longer than the hypotenuse?

A leg cannot be longer than the hypotenuse. The largest angle in a right triangle is 90 degrees. opposite the 90 degree angle is the largest side.

Why must the hypotenuse be longer than either leg?

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. …

Can a hypotenuse be less than a leg?

It’s not possible, that’s a violation of the triangle inequality. Let’s call the sides of the triangle a, b, and , c. Let c be the side opposite the 90 degree angle, b opposite the 60 deg angle, and a opposite the 30 deg angle. The hypotenuse is the name for the side opposite the 90 deg angle.

Does the Pythagorean apply to all right triangles?

Pythagoras’ theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

What happens if a2 b2 is greater than c2?

Converse: If a2+b2=c2 in a triangle with c is the longest side, then a triangle is a right triangle. If a triangle is not a right triangle, there are 2 other options for types of triangles. Acute: Has 3 acute (less than 90 degree) angles. Obtuse: Has a single obtuse (greater than 90 degree) angle and 2 acute angles.

What can you infer about the hypotenuse of a right triangle?

What is the hypotenuse of a right triangle? It is the side that is opposite the right angle.