Advertisements
Advertisements
प्रश्न
Write a Pythagorean triplet whose one member is 14.
Advertisements
उत्तर
The three numbers of the Pythagorean triplet are 2m, m2 - 1, and m2 + 1.
Here, 2m = 14
so, m = 7
Second number (m2 - 1) = (7)2 - 1
= 49 - 1
= 48
Third number (m2 + 1) = (7)2 + 1
= 49 + 1
= 50
Hence the Pythagorean triplet is (14, 48, 50).
APPEARS IN
संबंधित प्रश्न
What will be the units digit of the square of the following number?
4583
What will be the units digit of the square of the following number?
99880
Which of the following triplets are pythagorean?
(8, 15, 17)
Which of the following triplet pythagorean?
(16, 63, 65)
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
12 + 22 + 32 + 42 + ... + 102
Which of the following number square of even number?
324
Find the squares of the following numbers using diagonal method:
348
Find the square of the following number:
451
Find the area of a square field if its perimeter is 96 m.
Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.
