Basic Proportionality Theorem
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m whe..
Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m whe..Theorem:
Prove that in any triangle, the sides of a triangle are proportional to the sines of the opposite angle..
Lami's Theorem
If three concurrent forces acting on a body keep it in equilibrium, then each force is proportional to the sine of angle between the other two force..
Gauss' Theorem
Gauss' Theorem - We have already learnt to find the electric field intensity due to a charged conductor using Coulomb's law. Gauss' theorem can also be used to calculate the electric field intensity provided there is a symmetry in the charge distribution. Can be considered as an..
Gauss' Theorem - We have already learnt to find the electric field intensity due to a charged conductor using Coulomb's law. Gauss' theorem can also be used to calculate the electric field intensity provided there is a symmetry in the charge distribution. Can be considered as an..Theorem 2
The number of radians in angle subtend by an arc of a circle at the Let . Now draw a circle of radius r which intersect OP at A and OQ at C. Consider an arc AB on the circle, so that the length of the arc and the length of radius are both equal to r. Draw OB. Then by definition of radian ..
The number of radians in angle subtend by an arc of a circle at the Let . Now draw a circle of radius r which intersect OP at A and OQ at C. Consider an arc AB on the circle, so that the length of the arc and the length of radius are both equal to r. Draw OB. Then by definition of radian ..Basic Proportionlity Theorem
A line parallel to one side of a triangle divides the other two sides into parts of equal proportion..
Theorem1 (S.A.S) Similarity
If a pair of corresponding angles are equal and the sides including them are proportional, then the triangles are simila..
Theorem I (S.A.S.) Similarity
If a pair of corresponding angles are equal and the sides including them are proportional, then the triangles are similar. In D ABC and D PQR, A = P and D ABC ~ D ..
If a pair of corresponding angles are equal and the sides including them are proportional, then the triangles are similar. In D ABC and D PQR, A = P and D ABC ~ D ..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 triangle..
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 triangle..Summary
Midpoint Theorem The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, parallel to another, bisects the t..
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