In a triangle MNP where the angle is m = 90 degrees, one leg is 2 cm; hypotenuse-13cm; find 2 legs.

Let us express the number of centimeters, which will be equal to the length of the second leg, for which we will use the variable a.

Let us determine how many centimeters the length of the second leg will correspond to, if we know, based on data from the task conditions, that the hypotenuse of the agreed right-angled triangle is thirteen centimeters, and the first leg is two centimeters:

a ^ 2 + 2 ^ 2 = 13 ^ 2;

a ^ 2 = 169 – 4;

a ^ 2 = 165;

a1 = √165;

a2 = -√165 (not suitable).

Answer: The length of the second leg is √165 cm.