Advertisements
Advertisements
Question
Write a Pythagorean triplet whose one member is 14.
Advertisements
Solution
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
RELATED QUESTIONS
What will be the units digit of the square of the following number?
52
Which of the following triplets are pythagorean?
(8, 15, 17)
Which of the following triplet is pythagorean?
(18, 80, 82)
Which of the following triplet pythagorean?
(10, 24, 26)
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]
and find the values of following:
1 + 2 + 3 + 4 + 5 + ... + 50
Which of the following number square of even number?
324
Find the square of the following number:
205
Find the square of the following number:
995
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
