The hypotenuse in a right-angled triangle is 5, the leg is two units less, find both legs.

We find what is the length of the first leg of this right-angled triangle.

In the wording of the condition for this task, it is reported that the length of the hypotenuse of this right-angled triangle is 5, and one of the legs is shorter than the hypotenuse by 2 units, therefore, the length of this leg is 5 – 2 = 3.

Now, knowing the lengths of the hypotenuse and one of the legs, we find the length of the second leg, applying the Pythagorean theorem:

√ (5 ^ 2 – 3 ^ 2) = √ (25 – 9) = √16 = 4.

Answer: the lengths of the legs of this right-angled triangle are 3 and 4.