In a triangle, the two corners are 45 degrees and 90 degrees, and the large side is 20cm.

In a triangle, the two corners are 45 degrees and 90 degrees, and the large side is 20cm. Find all the other sides of the triangle?

The triangle is isosceles because it has two equal angles of 45 °. Also, the triangle is rectangular, because the third angle is 90 °, where the hypotenuse (large side) is 20 cm long.To find the other two sides (legs), you can use the Pythagorean theorem: a ^ 2 + b ^ 2 = c ^ 2.

Since the triangle is isosceles, its legs are equal to a = b.

a ^ 2 + a ^ 2 = 20 ^ 2;

2a ^ 2 = 400;

a ^ 2 = 400: 2 = 200;

a = √200 = √ (100 * 2) = 10√2.

Answer: a = b = 10√2.