Question

in a triangle, three altitudes can be drawn True or false this two are options​

Answer 1

Answer:

Let AD,BE and CF are the altitudes drawn on sides BC,CA and AB of such that AD=BE=CF.

Since area of triangle is

2

1

base × altitude.

Therefore, the area of is given by :

2

1

×BC×AD=

2

1

×AB×CF=

2

1

×CA×BE

⇒BC×AD=AB×CF=CA×BE

⇒BC=AB=CA ( as AD=BE=CF)

Thus is an equilateral triangle.

Answer 2

Answer:

Note the position of the altitude as you drag. The altitude of a triangle is a line from a vertex to the opposite side, that is perpendicular to that side, as shown in the animation above. A triangle therefore has three possible altitudes. The altitude is the shortest distance from a vertex to its opposite side

Step-by-step explanation:

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