Is The Hypotenuse The Longest Side Of A Right Triangle?

The hypotenuse of a right triangle is

always the side opposite the right angle

. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

Why is the hypotenuse the longest side of a 25 right triangle?

As such the

hypotenuse is longer than the side opposite

and the hypotenuse is longer than the side opposite . Hence the hypotenuse is the longest side.

Is the hypotenuse the shortest side of a triangle?

In any triangle, the longest side is opposite the largest angle, and the

shortest side is opposite the smallest angle

. Thus, in a right triangle, the hypotenuse is always the longest side.

Can a side of a triangle be greater than the hypotenuse?

No, it can’t

. The largest angle in a right triangle is 90 degrees and it is the largest angle of the triangle. The side opposite the largest angle has to be the largest side.

What is the length of the longest side of a right triangle?

In geometry, a

hypotenuse

is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

What is the shortest side of a 30 60 90 triangle?

And because we know that we cut the base of the equilateral triangle in half, we can see that the side opposite the 30° angle (the shortest side) of each of our 30-60-90 triangles is exactly

half the length of the hypotenuse

.

What is the shortest side of a right triangle?

A right triangle has two shorter sides, or

legs

, and the longest side, opposite the right angle, which is always called the hypotenuse. The two shorter sides have some other special names, too, based on which acute angle of the triangle you happen to be working with at a particular time.

What is the shortest distance between 2 points?

A straight line

is the shortest distance between two points.

Is side A always longer than side B in a right triangle?

2 Answers. Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be

the hypotenuse

. The hypotenuse is always the triangle’s longest side. It is opposite the right angle.

What is a 45 degree triangle called?

A 45 – 45 – 90 degree triangle (

or isosceles right triangle

) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of. Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length).

Can you find right triangles when they build houses?

Who is this? You can find right triangles when they build houses. What is the name for side c? A rectangular field is 50 yards wide and 100 yards long.

Does 20 25 15 represent a right triangle?

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would

represent sides of a right triangle

.

Is Pythagorean theorem only for right triangles?

The hypotenuse is the longest side and it’s always opposite the right angle. Pythagoras’

theorem only works for right-angled triangles

, so you can use it to test whether a triangle has a right angle or not. In the triangle above, if.

How do I know if I have SOH CAH TOA?

What is not enough information for a right triangle?

Sometimes you may be given enough information about a right triangle to solve the triangle, but that information may not include

the measures of the acute angles

. In this situation, you will need to use the inverse trigonometric function keys on your calculator to solve the triangle.