Question

If the square of the hypotenuse is 100 and the square of one leg is 64 then the other leg is​

Answer 1

Answer:

As the two sides are equal, And square of Hypotenuse i.e Hypotenuse ² = 50,

Let side of the triangle be x,

According to Pythagoras Theorem,

Side² + Side² = Hypotenuse²,

=> As sides are equal, Both are x

=> x² + x² = 50

=> 2x² = 50,

=> x² = 25,

=> x = +5 or -5 ,

But sides can't be negative,

So the length of the legs is +5