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Question
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
Options
5x
7x
16x
25x
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
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