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
Find the square of the given number.
32
What will be the units digit of the square of the following number?
99880
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1002 − 992
Which of the following triplet pythagorean?
(12, 35, 38)
Find the square of the following number:
205
Find the square of the following number:
95
Find a Pythagorean triplet in which one member is 12.
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
Write two Pythagorean triplets each having one of the numbers as 5.
A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
