Sides of a rectangle 13 cm 14 cm 15 cm find the area (S) of a similar triangle S1 whose largest side is 5 cm.

An error was made in the problem statement. The specified geometric shape is a triangle, not a rectangle.

1. Calculate the area (S) of the original triangle. For the calculation, we use Heron’s theorem.

S = √p (p – 13) (p – 14) (p – 15).

p is a semi-perimeter.

p = 13 + 14 + 15/2 = 21 cm.

S = √21 (21 – 13) (21 – 14) (21 – 15) = √7056 = 84 cm².

2. We calculate the coefficient of similarity, taking into account that the large side of the second triangle similar to this one is 5 cm.

k = 15: 5 = 3.

3. Calculate the area (S) of a triangle similar to this one:

S = 84 / k² = 84: 9 = 26/3 cm².

Answer: the area of a triangle similar to the given one is 26/3 cm².