Find the hypotenuse of a right-angled triangle if its legs are 6 cm and 8 cm.

It is known from the condition that a right-angled triangle is given by the lengths of two legs. One leg is 6 cm, and the second leg is 8 cm.

And we need to find the length of the hypotenuse of a right triangle.

For this, we recall and apply the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

Let’s write the Pythagorean theorem as:

c ^ 2 = a ^ 2 + b ^ 2;

c = √ (a ^ 2 + b ^ 2).

We just have to substitute the values into the formula and make calculations:

c = √ (8 ^ 2 + 6 ^ 2) = √ (64 + 36) = √100 = 10 cm hypotenuse length.