Find the leg of the triangle if it is known that one leg is 6cm a, the hypotenuse is 10cm.

As we know from the school geometry course, in a triangle that is rectangular, the square of the hypotenuse will correspond to the sum of the squares of the legs.

Let us find out how many centimeters the length of the desired leg in our triangle will be determined, if from the condition of the problem we know for sure that the length of the known leg corresponds to 6 centimeters, while the length of the hypotenuse is 10 centimeters:

a ^ 2 + 6 ^ 2 = 10 ^ 2;

a ^ 2 = 64;

a1 = 8;

a2 = -8 (does not match the condition).

Answer: 8 centimeters.