Find out if a triangle is right-angled if its sides are expressed by numbers: 6; 8; 10.

We denote the larger side of the triangle by a, and the smaller sides by b and c.

To determine the type of triangle, we need the sum of the squares of the smaller sides (b ^ 2 + c ^ 2) and the square of the larger side.

If a ^ 2 = (b ^ 2 + c ^ 2), then the triangle is right-angled.

If a ^ 2> (b ^ 2 + c ^ 2), then the triangle is obtuse.

If a ^ 2 <(b ^ 2 + c ^ 2), then the triangle is acute-angled.

a ^ 2 = 10 ^ 2 = 100.

(b ^ 2 + c ^ 2) = 6 ^ 2 + 8 ^ 2 = 36 + 64 = 100.

100 = 100, therefore, the triangle is rectangular.

Answer: a rectangular triangle.