Question

in a right triangle, the hypotenuse is 3 cm more than twice one leg. if the length of the other leg is 5 cm, find the exact lengths of each sides of the triangle

Answer 1

Use the pythagoras theorem.

Let the first leg be of length x.

Now, the hypotenuse will be 3 cm more than 2*x
so, hypotenuse is 2x+3.

According to the pythagoras theorem,

\[5^2 + x^2 = (2x+3)^2\]

This is a quadratic equation that you can solve to find the value of x.