Question

the two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the length of each leg
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Answer 1

Answer:The answer is Two equal legs are of length 5 and other is ofcourse Root50

Step-by-step explanation:

Answer 2

Bonjour mate!

Let the length of both legs be x.

The square of hypotenuse is given to be 50 which means the value of hypotenuse is √50.

Now, according to Pythagoras theorem......

$= > {x}^{2} + {x}^{2} = \sqrt{50} \: \:$

$= > {2x}^{2} = \sqrt{50} \: \:$

$= > {x}^{2} = \sqrt{ \frac{50}{2} } \: \:$

$= > {x}^{2} = 25 \:$

$= > x = \sqrt{25} \:$

$= > x = 5,-5 \: \:$

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