In a right-angled triangle, the legs are 6cm and 8cm, which is equal to its hypotenuse.

To solve the problem, let’s remember what the hypotenuse is. The hypotenuse is the largest side in a right triangle and lies opposite the right angle. To determine its length, we need to use the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse or A ^ 2 + B ^ 2 = C ^ 2. We know the size of the two legs, so we need to insert the known data and calculate the hypotenuse.

C ^ 2 = 6 ^ 2 + 8 ^ 2.

C ^ 2 = 36 + 64.

C ^ 2 = 100.

C = √100.

C = 10 cm.

Answer: The hypotenuse is 10 cm.