In right angled triangle ,
By pythagoras theorem
Hypotenuse ² = Base² + perpendicular ²
Given,
Hypotenuse = 5
Base and perpendicular both are x .
Now,Putting the values
=> (5)² = x² + x²
=> 5 = √2x²
=> 5 = x√2
=> x = 5/√2
Hence,the length of leg is 5/√2.
Verification:
Hypotenuse ² = base ² + perpendicular ²
=> (5)² = ( 5/√2)² + (5/√2)²
=> 25 = 25/2 + 25/2
=> 25 = 50/2
=> 25 × 2 = 50
=> 50 = 50
verified.
