The perimeter of a triangle is 30 cm and its area is 30

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The perimeter of a triangle is 30 cm and its area is 30 cm². If the largest side measures 13 cm, what is the length of the smallest side of the triangle ?

Using Rule 1,
The perimeter of a triangle = 30 cm.
Area = 30 cm²
We know that, 5² + 12² = 13²
∴ The triangle is right angled.

Now, Area =	1	× 5 × 12 = 30cm²
	2

And, Perimeter = 5 + 12 + 13 = 30
Hence, the smallest side = 5 cm