Advertisements
Advertisements
Question
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
Options
5x
7x
16x
25x
Advertisements
Solution
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
RELATED QUESTIONS
Find the square of the given number.
32
Which of the following triplet pythagorean?
(10, 24, 26)
Observe the following pattern
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) = \frac{2 \times 3 \times 4}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\]
and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)
Which of the following number is squares of even number ?
256
Find the square of the following number:
127
Find the square of the following number:
405
Find the square of the following number:
205
If m is the square of a natural number n, then n is ______.
There are ______ natural numbers between n2 and (n + 1)2
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.
