What does the altitude of a triangle tell you?

What does the altitude of a triangle tell you?

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.

What is the meaning of smallest altitude?

In a triangle, the longest side is opposite the biggest angle. However, the shortest altitude is opposite the longest side. Besides, the area of a triangle is half the product of a base (a side) and the corresponding altitude.

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

And so on. The side opposite the 30° angle is always the smallest, because 30 degrees is the smallest angle. The side opposite the 60° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle.

What does inradius mean?

Definition of inradius : a radius of an inscribed circle or sphere —opposed to exradius.

What is inradius of equilateral triangle?

The inradius of an equilateral triangle is s 3 6 \frac{s\sqrt{3}}{6} 6s3 ​​. Note that the inradius is 1 3 \frac{1}{3} 31​ the length of an altitude, because each altitude is also a median of the triangle.

How many altitudes does a right triangle have?

three altitudes
Altitude(s) of a Triangle. An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle. Since all triangles have three vertices and three opposite sides, all triangles have three altitudes.

How do you determine the longest altitude?

Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude’s length and its base’s length equals the triangle’s area. Thus, the longest altitude is perpendicular to the shortest side of the triangle.

Can a triangle have two altitudes?

In an isosceles triangles ( a triangle with two congruent sides), the altitude having the incongruent side as its base will have midpoint of that side as its foot and according to the congruence tests if the triangle, two altitudes are of equal length , then the triangle is isosceles.

What is altitude of a triangle class 7?

An altitude of a triangle is the perpendicular line drawn from the vertex of the triangle to the opposite side. The altitude of a triangle is also known as the height of the triangle. In triangle ABC, AD is the altitude which is a perpendicular line drawn from the vertex A to the point D in the opposite side BC.

What is the altitude of a triangle?

What is Altitude Of A Triangle? Definition: Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right angle triangle with the base. Below is an image which shows a triangle’s altitude.

What is the difference between altitude and median In geometry?

Answer: Altitude and the median are two different things. Altitude is a line segment drawn from the vertex to the opposite side of a triangle such that it is perpendicular to it, whereas the median is just a line drawn from the vertex of a triangle to the midpoint of the opposite side of the triangle.

What is the use of altitude in trigonometry?

The main use of the altitude is that it is used for area calculation of the triangle i.e. area of a triangle is (½ base × height). Now, using the area of a triangle and its height, the base can be easily calculated as Base = [ (2 × Area)/Height]

What is the inradius of a circle inscribed in a triangle?

Also the inradius of a incircle inscribed in a right triangle is (a+b-c)/2 as by drawing three inradiuses to the three tangent points, then A to that tangent point is equal to A to the other tangent point (explained in circles) and etc for B and C.