The perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm is equal to ____cm.

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Detailed Solution

Triangle Perimeter Explanation: The missing number is 39 cm, because the perimeter of a triangle equals the sum of its three side lengths, P = a + b + c, so 10 + 14 + 15 = 39 cm.

What perimeter means

The perimeter of a triangle is the total distance around it, defined as the sum of the lengths of its three sides and expressed in linear units like centimetres. In symbols, if the sides are a, b, and c, then the formula is P = a + b + c.

Apply the formula

Here the sides are 10 cm, 14 cm, and 15 cm, so compute P = 10 + 14 + 15. Adding gives 10 + 14 = 24 and 24 + 15 = 39, hence P = 39 cm, keeping the same unit as the side lengths.

Perimeter measures the length of the boundary, so summing all sides directly yields the total boundary length for any triangle, including scalene triangles like this one where all sides differ. This approach is standard across references and elementary geometry exercises, which list the result for these side lengths as 39 cm.

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