Given a right-angled triangle, the large side of which is 20, find one of the angles 45 degrees to find the other sides.

If in a right-angled triangle one of the acute angles is 45 °, then the second acute angle is 45 ° and it is equilateral. Find the lengths of two equal sides by the Pythagorean theorem.

c ^ 2 = a ^ 2 + a ^ 2.

20 ^ 2 = 2a ^ 2.

a = √ (20 ^ 2/2) = √ (2 * (20/2) ^ 2) = 10√2.

Answer: each leg of the triangle is equal to 10√2 linear units.