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 always the shortest?
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.
Can the legs ever be longer 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.
Is the hypotenuse the same length as another side?
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
.
Can the hypotenuse be shorter than a 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. …
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 longest side in 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.
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.
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.
Are the legs always across from the 90 degree angle?
The two sides that form the 90 degree angle are called the legs. These two sides are always the
shortest two
sides of the right triangle. The side that is across from the right angle is called the hypotenuse. … Always look across from the 90 degree angle to find the hypotenuse.
What is the shortest side in a right triangle?
The angles in any triangle add up to 180°. 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.
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).
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
.
Can there be two hypotenuse?
The simple answer is
no
Because equation for area is base*height/2 where hypotenuse is proposanal to square of it. take as an example of 3 ,4, 5 side triangle & 3.35553 ,3.35553 & 5 side triangle & you’ll get your answer.
How do you know if two right triangles are similar?
If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle
, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.) In the figure, DFST=DESR .
Can the hypotenuse be equal to a leg in a right triangle?
Pythagorean Theorem. The Pythagorean theorem states that in any right triangle,
the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle
. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.
