9.If the two legs of a right angled triangle are equal are the square of the
hypotenuse is 100sq units, what is the length of each leg?
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Given ,
The two sides of right angled triangle are equal and the square of length of longest side is 100 sq units
Let ,
- The length of two equal sides of right angled triangle be x
We know that , the Pythagoras theorem is given by
Thus ,
100 = (x)² + (x)²
100 = 2(x)²
(x)² = 50
x = √50
x = 5√2 cm
Hence , the length of two equal sides of right angled triangle is 5√2 unit
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