Advertisements
Advertisements
प्रश्न
Find the length of the side of a square if the length of its diagonal is 10 cm.
उत्तर
Given, length of diagonal = 10 cm
Suppose, the length of side of a square is x cm.
By using Pythagoras theorem,
(10)2 = x2 + x2
⇒ 100 = 2x2
⇒ x2 = 50
⇒ x = `sqrt(50)` ...[Taking square root on both sides]
∴ x = `5sqrt(2)` cm
Hence, the length of the side of square is `sqrt(50)` or `5sqrt(2)` cm.
APPEARS IN
संबंधित प्रश्न
Find the square of the given number.
32
Write a Pythagorean triplet whose one member is 16.
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?
(16, 63, 65)
Find the squares of the following numbers using diagonal method:
98
Find the square of the following number:
425
Find the square of the following number:
995
If one member of a pythagorean triplet is 2m, then the other two members are ______.
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
