We define the side of the triangle opposite from the right angle to be
the hypotenuse
, h. It is the longest side of the three sides of the right triangle. The word “hypotenuse” comes from two Greek words meaning “to stretch”, since this is the longest side.
What is the longest side of a right triangle not called?
The sides of a right triangle have different names: The longest side, opposite the right angle, is called
the hypotenuse
. In the diagram, the hypotenuse is labeled c. The other two sides are called the legs of the triangle. Right triangles are very useful in geometry and for finding the areas of polygons.
What is the longest side of any triangle called?
In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle.
What is the shortest side of a triangle called?
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.
How do you find the longest side of a triangle?
The longest side of a triangle is
the side opposite the largest angle
. For the given angles this would be the side opposite angle A. Without at least one linear measurement, the length of any side can not be determined.
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 third side of a triangle called?
| Isosceles triangle | Dual polygon Self-dual | Properties convex, cyclic |
|---|
How do I know if I have SOH CAH TOA?
| Sine: soh sin(θ) = opposite / hypotenuse | Tangent: toa tan(θ) = opposite / adjacent |
|---|
What do you call the longest side of an obtuse triangle?
The longest side of an obtuse triangle is
the one opposite the obtuse angle vertex
. An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles).
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).
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.
How do you find the side of a triangle given two sides?
- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
- The side opposite the right angle is called the hypotenuse (side c in the figure).
What does the letter C stand for in the formula a2 b2 c2?
a c Pythagorean Theorem: a2 + b2 = c2. b. NOTE: The side “c” is always the side opposite the right angle. Side “c” is called
the hypotenuse
.
What is the rule for the third side of a triangle?
Triangle Inequality Theorem.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side
.
What is the rule for side lengths of a triangle?
The sides of a triangle rule asserts that
the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side
. See the side lengths of the acute triangle below. The sum of the lengths of the two shortest sides, 6 and 7, is 13.
Does a triangle with these side lengths exist 5 10 15?
No; The sum of the lengths of any two sides of a triangle must be
greater than
the length of the third side.
