Q: What can use any side as the altitude and base of a triangle?

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You can pick any side to be the base. It doesn't really matter.

It can be any length at all. The length of one side imposes no limits at all on the altitude.

any side of the triangle that is perpendicular to the height.

Yes, though generally speaking the bottom, horizontal side (if any) of a triangle is called its base.

The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.

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Any right triangle resting on a leg.

You can pick any side to be the base. It doesn't really matter.

A straight line from any vertex to the opposite side which is perpendicular to that side.

The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.

It can be any length at all. The length of one side imposes no limits at all on the altitude.

any side of the triangle that is perpendicular to the height.

Yes, though generally speaking the bottom, horizontal side (if any) of a triangle is called its base.

The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.

In geometry, a perpendicular segment that connects a vertex to its opposite side is the altitude of a triangle. Triangles have three altitudes, according to this definition for altitude.

the base of a triange would be different depending per triangle. an equilateral can be any side, an isosceles would be the side that is different and a scalene would be the longest.

If one side of an equilateral triangle is 12 cm, then all sides are 12 cm and all angles are 60 degrees. An altitude dropped from any vertex in an equilateral triangle bisects the base, creating two identical Pythagorean triple triangles. Using our old friend the Pythagorean theorem we can calculate the altitude (= height) as follows"a2 + b2 = c62 + b2 = 12236 + b2 = 144b2 = 108b = 10.3923 cm.

Do you mean an equilateral triangle? Then if so then the formula for the area of any triangle: 0.5*a*b*sinC whereas a and b are the embraced sides of angle C And in the case of an equilateral triangle it is: 0.5*any side squared*sin(60 degrees) Alternatively use Pythagoras' theorem to find the altitude of the triangle then use: 0.5*base*height = area