6cm 4cm 7cm 7cm 12 cm
(4 points)
Determine the area of the triangular base of the prism. square centimeters
To find the area of the triangular base of the prism, we first need to find the area of the triangle formed by the sides 6 cm, 7 cm, and 7 cm.
Using Heron's formula, we can find the area of the triangle:
s = (6 + 7 + 7) / 2 = 10 cm
Area = √[10(10-6)(10-7)(10-7)]
Area = √[10(4)(3)(3)]
Area = √[360]
Area ≈ 18.97 cm²
Therefore, the area of the triangular base of the prism is approximately 18.97 square centimeters.