The sides of this triangle are 15cm, 20cm and 25cm. Find the sides of a triangle similar to this one if its area is 6cm.

Since the triangles are similar, the sides of the second triangle relate to each other as 15:20:25 = 3: 4: 5 Wow, the sides of the first and the second are related 3: 4: 5, which means that the triangle is right-angled (9+ 16 = 25) and the legs correspond 3: 4 Since the second triangle is right-angled, then S = a * b / 2 => 6 = a * b / 2 => a * b = 12 Since a: b = 3: 4 and a * b = 12, then it is clear that a = 3 b = 4 And since the aspect ratio = 3: 4: 5, then c = 5.