Advertisements
Advertisements
प्रश्न
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
पर्याय
5x
7x
16x
25x
Advertisements
उत्तर
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is 5x.
Explanation:
Given, lengths of the legs of right angled triangle are 3x and 4x.
Now, hypotenuse = `sqrt((3x)^2 + (4x)^2)` ...[Using Pythagoras theorem]
= `sqrt(9x^2 + 16x^2)`
= `sqrt(25x^2)`
= 5x
APPEARS IN
संबंधित प्रश्न
Find the square of the given number.
35
What will be the units digit of the square of the following number?
4583
What will be the units digit of the square of the following number?
78367
What will be the units digit of the square of the following number?
55555
Which of the following triplet is pythagorean?
(18, 80, 82)
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
Find the square of the following number:
205
Find the square of the following number:
745
Find the square of the following number:
512
Write the Pythagorean triplet whose one of the numbers is 4.
