Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Let Rahul walked x m, while returning home.
In ΔABC, by using Pythagoras theorem, we get
AC2 = AB2 + BC2
⇒ AC2 = (12)2 + (35)2
⇒ AC2 = 144 + 1225 = 1369
⇒ AC = `sqrt(1369)`
⇒ AC = 37 m
| 37 | |
| 3 | `bar13` `bar69` |
| 9 | |
| 67 | 469 |
| 469 | |
| 0 |
Hence, Rahul walked 37 m distance for returning to his house diagonally.
APPEARS IN
संबंधित प्रश्न
Find the square of the given number.
32
Find the square of the given number.
93
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
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
992 − 962
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
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
Find the squares of the following numbers using diagonal method:
295
There are ______ natural numbers between n2 and (n + 1)2
Write the Pythagorean triplet whose one of the numbers is 4.
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.
