Theorem7
The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of i..
Parallelograms Theorem 7
Parallel lines and Triangles - So far we have proved various theorems on parallelograms. Let us now apply these theorems to prove a few interesting and useful facts about a triangl..
Converse of Theorem7
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
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 both parallelograms are ..
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 both parallelograms are ..Pythagoras' Theorem
Pythagoras' Theorem - In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively...
Pythagoras' Theorem - In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively...Pythagoras' Theorem In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN parallel to BE meeting..
In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN parallel to BE meeting..Mid - Point Theorem
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 ..
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 ..Which of the following functions satisfies the mean value theorem?
Which of the following functions satisfies the mean value theorem? => f ( x ) = x 2 - 6 , x ∈ [7, 8] or f ( x ) = log x , x ∈ [-7, 8] or f ( x ) = [ x ], x ∈ [-7, 7] or f ( x ) = | x |, x ∈ [-8, 8]..
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 triangles and congruent triangles: In PQ |..
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 triangles and congruent triangles: In PQ |..See what our Users say :
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