Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio. - Sarthaks eConnect | Largest Online Education Community

Square root of a Prime (5) is Irrational (Proof + Questions) This proof works for any prime number: 2, 3, 5, 7, 11, etc. Let’s prove for 5. First, we will assume that the square root of 5 is a rational number. Next, we will show that our assumption leads to a contradiction. Let us assume √5 is a rational number. Statement A 5 =yx y =0

Explanation: Let us assume that √5 is a rational number with p and q as co-prime integers and q ≠ 0. ⇒ √5 = p / q. On squaring both sides we get, ⇒ 5q 2 = p 2. ⇒ p 2 is a prime number that divides q. Therefore, p is a prime number that divides q. Let p = 5x where x is a whole number. By substituting the value of p in 5q 2 = p 2, we get.

Best answer Given that, Parallelogram ABCD circumscribing circle C1. Therefore, AB, BC, CD and AD are tangents to circle C1. We know that lengths of tangents to a circle from a fixed outer point are equal. ∴ AP = AS … (1) (AP & AS are tangents to circle from point A.) BP = BQ … (2) (BP & BQ are tangents to circle from point B.) CR = CQ … (3)

We've just proven that if the diagonals bisect each other, if we start that as a given, then we end at a point where we say, hey, the opposite sides of this quadrilateral must be parallel, or that ABCD is a parallelogram.

A similar argument provides a proof of the Chinese Remainder Theorem. Theorem 1.7.2: Chinese Remainder Theorem If m and n are relatively prime, and 0 ≤ a < m and 0 ≤ b < n, then there is an integer x such that x mod m = a and x mod n = b. Proof More general versions of the Pigeonhole Principle can be proved by essentially the same method.

Ask doubt Trigonometric Identities CBSE X Maths Introduction to Trigonometry Prove that : cotA + cosecA - 1/cotA-cosecA+1 = 1+cosA / sinA Asked by 20th September 2012 10:07 PM Answered by Expert CBSE X Maths tanA+secA-1/tanA-secA+1=1+sinA/cosA Asked by Adithya Rao 18th May 2014 8:49 AM Answered by Expert CBSE X Maths Introduction to Trigonometry

Definition of 'prove' prove (pruːv ) link verb If something proves to be true or to have a particular quality, it becomes clear after a period of time that it is true or has that quality. [.] See full entry for 'prove' Collins COBUILD Advanced Learner’s Dictionary. Copyright © HarperCollins Publishers Definition of 'theory' theory (θɪəri )

The branch of Mathematics which deals with the measurement of the sides and the angles of a triangle is known as trigonometry. Students who find it difficult to understand the concepts covered in this chapter can make their learning process smooth and easy using RD Sharma Solutions.

SHORT TRICK TO PROVE BPT THEOREM | BPT THEOREM | BASIC PROPORTIONAL THEOREM |THALES THEOREM PROVEIn this Vedio we have proved BPT THEOREM with the easiest tr.

Theorem 6.1 Thale’s Theorem/ Basic Proportionality Theorem (BPT) Statement: ” If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points. The other two sides are divided in the same ratio.” OR. Prove that in a triangle a line parallel to one side divides remaining two sides in the same ratio.

Brainly User. Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion. Basic Proportionality Theorem. In the figure alongside, if we consider DE is parallel to BC, then according.