What is the long side of a triangle called?
What is the long side of a triangle called?
hypotenuse
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.
Is the longest side of a triangle the height?
In a right angled triangle resting on a side other than the hypotenuse, the base is the shorter side with the hypotenuse being the longest, In a right angled isosceles triangle resting on the hypotenuse, the base is the longest side with the altitude on the base being half the base.
Can any side of a triangle be the height?
Any side of a triangle can be a base. There is only one possible height. A height is always one of the sides of a triangle. A height that corresponds to a base must be drawn at an acute angle to the base.
What is the height of a triangle called?
altitude
The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it. The altitude makes a right angle with the base of the triangle that it touches. It is commonly referred to as the height of a triangle and is denoted by the letter ‘h’.
Why is the hypotenuse important?
The hypotenuse is the longest side of a right triangle. It is also the side opposite the right angle. It is useful in different situations involving the need to find distance or the measure of an angle.
Is there only one possible height for a triangle?
There is only one possible height. A height is always one of the sides of a triangle. A height that corresponds to a base must be drawn at an acute angle to the base. A segment representing a height must go through a vertex.
Is the base of a triangle always the longest side?
A right triangle has three sides: the hypotenuse, height, and base of the triangle. The base and height of a right triangle are always the sides adjacent to the right angle, and the hypotenuse is the longest side.
How do you find the height of a triangle if you know the sides?
The Pythagorean Theorem states that for any right triangle with sides of length a and b, and hypotenuse of length c: a2 + b2 = c2. We can use this theorem to find the height of our equilateral triangle! Break the equilateral triangle in half, and assign values to variables a, b, and c.
How do you find height of a triangle?
Triangle height, also referred to as its altitude, can be solved using a simple formula using the length of the base and the area.
- h = 2Tb.
- s = p2.
- h = abc.
- ha = √(a² – (0.5 × b)²) × ba.
- h = a × √32.
What is the length of each side of a triangle?
Each of the angles measures 60º. All of the sides in an equilateral triangle are the same lengths. An isosceles triangle has two equal length sides. It also has two inside angles that are equal size. The other angle can be acute (less than 90°), a right angle (90°), or obtuse (more than 90°).
Which side of a triangle is opposite the largest angle?
The mid-size parts If the smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle. Equilateral triangles
Which side is the shortest side of a triangle?
In such a triangle, the shortest side is always opposite the smallest angle. Similarly, the longest side is opposite the largest angle. In the figure above, drag any vertex of the triangleand see that whichever side is the shortest,
What is the midsize side of an equilateral triangle?
If the smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle. Equilateral triangles An equilateral trianglehas all sides equal in length and all interior angles equal.