Answer:
see answers below
Explanation:
B = 180 -90 - 40 = 50° (angles in triangle add up to 180). so, 50 + 40 + 90 = 180.
Sine rule: a/SIN A = b/SIN B = c/SIN C
b/sin 50 = 25/sin 40
b = (25 sin 50) / sin 40
= 29.8.
In a right-angled triangle, a ² + b ² = c ²
c ² = 25² + b²
= 1512.67
c = √1512.67
= 38.9