Advertisements
Advertisements
Question
Find the Pythagorean triplet from among the following set of numbers.
2, 6, 7
Solution
It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to the sum of the squares of the other two numbers, then the three numbers form a Pythagorean triplet.
The given set of numbers is (2, 6, 7).
The biggest number among the given set is 7.
72 = 49; 62 = 36; 22 = 4
Now, 4 + 36 = 40 ≠ 49
∴ 22 + 62 ≠ 72
Thus, (2, 6, 7) does not form a Pythagorean triplet.
RELATED QUESTIONS
The perpendicular AD on the base BC of a ∆ABC intersects BC at D so that DB = 3 CD. Prove that `2"AB"^2 = 2"AC"^2 + "BC"^2`
Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals
Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.
The angle B is:
In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.
In the given figure, ∠B = 90°, XY || BC, AB = 12 cm, AY = 8cm and AX : XB = 1 : 2 = AY : YC.
Find the lengths of AC and BC.
A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.
Find the distance between the helicopter and the ship
Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Give reason
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
