What is the number of square units in the area of a triangle whose sides measure 5, 6 and 6 units?
Acute isosceles triangle.
Sides: a = 6 b = 6 c = 5
Use Heron's Formula to find the area of the triangle: Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
T= sqrt[s(s−a)(s−b)(s−c)]
T= sqrt[8.5(8.5−6)(8.5−6)(8.5−5)]
T= 185.94===13.64
Area: T = 13.636 u^2
Perimeter: p = 17
Semiperimeter: s = 8.5