In a right-angled triangle, one angle is 45 and one of the legs is 5 cm. Find another angle and hypotenuse.

the sum of the acute angles in a right-angled triangle = 90 °. means
x + 45 = 90
x = 45 ° angle of the second leg
since the angles of the legs are equal, then this is an isosceles triangle. therefore 2 legs = 1 legs = 5 cm
To find the hypotenuse, we use the Pythagorean theorem:
x ^ 2 = 25 + 25
x ^ 2 = 50
x = 5√2
answer: 45 °, 5√2