Question

The two legs of right triangle are equal and square of its hypotenuse is50 .find the length of each leg????

Answer 1

If two sides of the right angle are equal then it is a isoceles angle
Let each equal side be a 
Then according to the Greek philosopher Pythagoras ;
(Hypotenuse)²=a²+a²
⇒50 = 2a²
⇒ a² = 50/2
⇒ a² = √25
⇒ a = 5 units                                                        Ans.
Hence, the length of Each side of the right triangle is 5 units     Ans.
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Answer 2

Now using Pythagora's theorem (i.e. the sum of the squares of the legs of the right angle triangle is equal to the square of the hypotenuse of the right angle triangle). So the length of the two legs of the right angle triangle is 5. So this is the required answer.

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