theorem 7


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Theorem 7:
Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b)...
Parallelograms Converse of Theorem 7
Statement - A straight line drawn through the mid-point of one side and parallel to another side of a triangle bisects the third sid..
Theorem 1
Theorem 1 - Parallelograms on the same base and between the same parallels are equal in area. ABCD and ABEF are two parallelograms on the same base AB and between the same parallels AB, DE area (ABCD) = area (ABEF) An alternate way of proving this theorem is as follows: Since bo..
Theorem 1
Theorem 1 - If two sides of a triangle are equal, the angles opposite to them are equal. In AB = AC Draw AD, the bisector of to meet BC at ..
Theorem 1
If two sides of a triangle are equal, the angles opposite to them are equal. In AB = AC Draw AD, the bisector of to meet BC at ..
Langrange's Mean Value Theorem
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..
Mid - Point Theorem
The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. P, Q are the mid-points of the sides AB, and AC of (i) PQ || BC (ii) Draw CR || BA to meet PQ produced at ..
Theorem 3 (S.S.S.) Similarity
Theorem 3 (S.S.S.) Similarity - If three pairs of corresponding sides are proportional then the two triangles are similar. In D ABC and D PQR, D ABC ~ D PQR The above three theorems are without proof. Such theorems can be called postulates. Now, let us compare similar ..
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