Find the length of the leg of a right-angled triangle if its hypotenuse is 41 cm and the length of the other leg is 40 cm.

A rectangular triangle is a triangle in which one corner is a straight line (equal to 90º)

To calculate the AC leg, we use the Pythagorean theorem, according to which the square of the hypotenuse is equal to the sum of the squares of the legs:

AB ^ 2 = BC ^ 2 + AC ^ 2;

AC ^ 2 = AB ^ 2 – BC ^ 2;

AC ^ 2 = 41 ^ 2 – 40 ^ 2 = 1681 – 1600 = 81;

AC = √81 = 9 cm.

Answer: the length of the AC leg is 9 cm.