<prompt> Calculate the area of a triangle with sides measuring 8cm, 5cm, and 6cm.  <response>: To calculate the area of a triangle with sides measuring 8cm, 5cm, and 6cm, we can use Herons formula. First, we need to calculate the semi-perimeter s of the triangle, which is half the sum of the lengths of the sides:s 8 5 62 9.5 cmNext, we can plug this value into Herons formula to find the area A of the triangle:A sqrtss-8s-5s-6A sqrt9.5 1.5 4.5 3.5A 14.7 cm2The area of the triangle with sides measuring 8cm, 5cm, and 6cm is approximately 14.7 square centimeters. 