Advertisements
Advertisements
प्रश्न
Find the Pythagorean triplet from among the following set of numbers.
2, 4, 5
Advertisements
उत्तर
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, 4, 5).
The biggest number among the given set is 5.
52 = 25; 42 = 16; 22 = 4
Now, 16 + 4 = 20 ≠ 25
∴ 42 + 22 ≠ 52
Thus, (2, 4, 5) does not form a Pythagorean triplet.
संबंधित प्रश्न
In Figure ABD is a triangle right angled at A and AC ⊥ BD. Show that AC2 = BC × DC
Identify, with reason, if the following is a Pythagorean triplet.
(11, 60, 61)
In a rectangle ABCD,
prove that: AC2 + BD2 = AB2 + BC2 + CD2 + DA2.
Find the length of diagonal of the square whose side is 8 cm.
Prove that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.
In the figure below, find the value of 'x'.
A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.
A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?
Two angles are said to be ______, if they have equal measures.
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 metres × 80 metres. How much shorter is the route across the park than the route around its edges?
