Advertisements
Advertisements
Question
Write a Pythagorean triplet whose one member is 18.
Solution
The three numbers of Pythagorean triples are 2m, m2 - 1 and m2 + 1.
Here, 2m = 18
So, m = 9
Second number (m2 - 1)
= (9)2 - 1
= 81 - 1
= 80
Third number (m2 + 1)
= (9)2 + 1
= 81 + 1
= 82
Hence the Pythagorean triplet is (18, 80, 82).
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
93
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 are square of even number?
6561
Which of the following number square of even number?
373758
Find the squares of the following numbers using diagonal method:
273
Find the square of the following number:
503
Find the square of the following number:
265
Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?
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.
