The sides of a right-angled triangle are 24 cm, 10 cm and 26 cm. What is the largest leg of this triangle?

Since this triangle is right-angled, then its hypotenuse has the greatest value, namely 26 cm.

In this case, the value of the legs of the triangle will be 24 and 10 cm.

We check this condition using the Pythagorean theorem.

Since the square of the hypotenuse is equal to the sum of the squares of the legs of a right-angled triangle, we get:

262 = 242 + 102.

676 = 576 + 100.

676 = 676.

Answer:

The largest leg of this triangle is 24 cm.