Question

1. How many altitude a triangle have?
Ans​

Answer 1

Answer:

HERE U GO

HOPE IT IS HELPFUL FOR YOU

PLZ FOLLOW ME

PLZ THANK ME.......

Answer 2

$\huge \mathfrak \green{answer}$

What is altitude of a Triangle ?

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.

Altitude of Right angle Triangle :

The altitude of a right-angled triangle divides the existing triangle into two similar triangles. According to right triangle altitude theorem, the altitude on the hypotenuse is equal to the geometric mean of line segments formed by altitude on hypotenuse.

Altitude of obtuse triangle :

For an obtuse-angled triangle, the altitude is outside the triangle. For such triangles, the base is extended, and then a perpendicular is drawn from the opposite vertex to the base.

Altitude of a Equilateral triangle:

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle.

Altitude of Isosceles triangle:

The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

Altitudes of triangle formulae

Equilateral triangle - h = (½) * √3* s

Right triangle - h = √(xy)

Isosceles triangle- h = √(a²-b²/2)

For example:

Diagram refer to attachment ☺

In triangle ADB,

sin 60° = h/AB

We know, AB = BC = AC = s (since all sides are equal)

∴ sin 60° = h/s

√3/2 = h/s

h = (√3/2)s

⇒ Altitude of an equilateral triangle = h = √(3⁄2) × s