# Find the perimeter and area of a triangle with sides 5 cm 8 cm 6 cm.

December 28, 2020 | education

| Let’s calculate the perimeter of the triangle. Р = a + b + c, where a, b, c are the lengths of the sides of the triangle.

P = 5 + 8 + 6 = 19 cm.

To find the area of a triangle, knowing the lengths of its sides, we use Heron’s formula: S = Square root of (p * (p-a) * (p-b) * (p-c)), where p is the semiperimeter (P: 2).

p = 19: 2 = 9.5 cm.

S = √ (9.5 * (9.5-5) * (9.5-8) * (9.5-6)) = √ (9.5 * 4.5 * 1.5 * 3.5 ) = √ (224.44) = 14.98 cm2 (if rounded to the nearest hundredths, the answer will be 15 cm2 when rounded to tenths).

Answer: 19 cm, 15 cm2.

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