Calculate the area of a triangle if its sides are 10 cm and the third side is 16 cm.

a = 10 cm, b = 10 cm, c = 16 cm;

S = √ (p (p – a) (p – b) (p – c));

p = 1/2 (a + b + c);

p = 1/2 (10 + 10 + 16) = 1/2 * 36 = 18 cm;

S = √ (18 (18 – 10) (18 – 10) (18 – 16)) = √ (18 * 8 * 8 * 2) = √ (2304) = 48 cm ^ 2.

Answer: 48 cm ^ 2.

Explanation: We know three sides, so we can substitute these values into Heron’s formula and calculate the area of the triangle.