The legs of a right-angled triangle are 12cm and 5cm. Find the hypotenuse of this triangle.

It is known from the condition that the legs of a right-angled triangle are 12 cm and 5 cm, respectively. And we need to find the hypotenuse of this triangle.

To find it, we will apply the Pythagorean theorem. Let’s remember how the Pythagorean theorem sounds.

She says that the square of the hypotenuse is equal to the sum of the squares of the legs.

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

Let’s take the square root of both sides of the equation:

c = √ (a ^ 2 + b ^ 2).

All that remains is to substitute the values and perform calculations:

c = √ (12 ^ 2 + 5 ^ 2) = √ (144 + 25) = √169 = 13 cm.