ThePrismSolutions

ThePrismSolutions

Area Volume & Surface area

I.RESULTS ON TRIANGLES:

1.Sum of the angles of a triangle is 180 degrees.

2.Sum of any two sides of a triangle is greater than the third side.

3.Pythagoras theorem:

In a right angle triangle

(Hypotenuse)2 = (base)2 + (Height)2

4.The line joining the midpoint of a side of a triangle to the opposite vertex is called the MEDIAN

5.The point where the three medians of a triangle meet is called CENTROID. Centroid divides each of the medians in the ratio 2:1.

6.In an isosceles triangle, the altitude from the vertex bi-sects the base

7.The median of a triangle divides it into two triangles of the same area.

8.Area of a triangle formed by joining the midpoints of the sides of a given triangle is one-fourth of the area of the given triangle.

II.RESULTS ON QUADRILATERALS:

1. The diagonals of a parallelogram bisects each other .

2. Each diagonal of a parallelogram divides it into two triangles of the same area

3. The diagonals of a rectangle are equal and bisect each other.

4. The diagonals of a square are equal and bisect each other at right angles.

5. The diagonals of a rhombus are unequal and bisect each other at right angles.

6. A parallelogram and a rectangle on the same base and between the same parallels are equal in area.

7. Of all the parallelograms of a given sides , the parallelogram which is a rectangle has the greatest area.


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