the hypotenuse of a right triangle is 7 cm and the one of leg is 13 inches. find the length of the other leg

Assuming x represents the length of the first side.

Use Pythagorean theorem to solve: a^2 + b^2 = c^2

Solve the quadratic equation using the quadratic formula.

At the end, you will get side lengths of # (-14 ± 34) / 4, or - 12 and 5

SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.

The formula for area of a right triangle is A = B H/2

After doing your work you should get. 30cm^2