What happens if the area of triangle is zero?

What happens if the area of triangle is zero?

R D Sharma – Mathematics 9 If the area of the triangle is zero then the vertices of the triangle are also zero,, and there will not be any triangle formation.

Can a triangle area be zero?

A triangle can have zero area.

When the area of triangle is zero then what can be said about their vertices?

Answer: When the area of a triangle is zero then the vertices said to be collinear.

Is area can be zero?

Intuitively, the area under the graph of the null function is always zero, no matter over what interval we chose to evaluate it. Note the derivative of a constant function ddxC=0 .

Can a triangle be flat?

A triangle is flat – it has no thickness. But every triangle has a perimeter and an area, and three angles. The three angles of a triangle will always add up to 180 degrees, no matter how big or how small the triangle is.

Can area of a triangle be negative?

The area of a triangle cannot be negative. In case we get the answer in negative terms, we should consider the numerical value of the area, without the negative sign. To find the area of a triangle in coordinate geometry, we need to find the length of three sides of a triangle using the distance formula.

Can sides be zero?

The zero angle is possible geometrically in a right triangle when the length of opposite side is equal to zero.

Why area of triangle is zero when points are collinear?

Area of Triangle Method Let us substitute the coordinates of the above three points R, S and T in the determinant formula above for the area of a triangle to check if the answer is zero. Since the result for the area of the triangle is zero, therefore R (2, 4), S (4, 6) and T (6, 8) are collinear points.

What are the properties of a triangle?

The properties of a triangle are:

• A triangle has three sides, three angles, and three vertices.
• The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
• The sum of the length of any two sides of a triangle is greater than the length of the third side.

What does it mean if the area of a triangle is zero?

If the area comes out to be zero, it means the three points are collinear. They lie in a straight line and do not form a triangle. You can drag the points above to create this condition. Heron’s Formula allows you to calculate the area of a triangle if you know the length of all three sides. (See Heron’s Formula ).

How to find the area of a triangle with 3 vertices?

Given the coordinates of the three vertices of any triangle, the area of the triangle is given by: where A x and A y are the x and y coordinates of the point A etc.. This formula allows you to calculate the area of a triangle when you know the coordinates of all three vertices.

What does it mean when the area of three points is zero?

If the area comes out to be zero, it means the three points are collinear. They lie in a straight line and do not form a triangle. You can drag the points above to create this condition.

How to find the area of a collinear triangle with three points?

If the area is zero. If the area comes out to be zero, it means the three points are collinear. They lie in a straight line and do not form a triangle. You can drag the points above to create this condition. You can also use Heron’s Formula. Heron’s Formula allows you to calculate the area of a triangle if you know the length of all three sides.