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Since PQR is a right-angled triangle, we use the Pythagoras theorem to find the SIDE QR. By Pythagoras Theorem, PR²=PQ²+QR². 13²= 5²+QR². 169= 25 + QR². QR²= 169-25. QR²=144. QR= √144 =12. Therefore QR is 12. The Pythagorean Triples. Pythagorean Triples are a set of 3 numbers (with each number representing a side of the triangle ...
Hence it is the Pythagorean Theorem. Application of this theorem in real life: The following are some of the applications of the Pythagoras theorem: Pythagoras theorem is useful to check if a given triangle is a right-angled triangle or not. Aerospace scientists and meteorologists are using this theorem to find the range and sound source.
State and prove Pythagoras theorem. View Solution. Q2. State the converse of Pythagoras' Theorem and prove it.
Pythagoras Theorem. The concept of Pythagoras theorem is highly applicable in direction reasoning problem. In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. i.e., c 2 = a 2 + b 2. Left – Right Movements. Let us understand the various clock-wise and anti-clockwise turns in ...
Write converse of Pythagoras theorem and prove it. View Solution. Q3.
Reason: According to Pythagoras theorem, h 2 = l 2 + b 2, w h e r e h = h y p o t e n u s e, l = l e n g t h a n d b = b a s e. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion. Assertion is correct, but ...
Using Pythagoras theorem determine the length of AD in terms of b and shown an Fig. 7.221
Converse of Pythagoras theorem states that in a triangle, if the square of larger side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
Question 4: What is Basic Proportionality Theorem? Answer: Basic Proportionality Theorem which we also abbreviate as BPT says that, if a line is parallel to a side of a triangle that is intersecting the other sides into two different points, after that, the line divides these sides in proportion.
This is called Pythagoras Theorem. a = 3, b = 4, c = hypotenuse side = y 3 2 + 4 2 = c 2 9 + 1 6 = c 2 c 2 ...
