Use the triangle pictured to calculate the following measurements. Perimeter: p = ___ units Semiperimeter: s = ___units Area: A ≈ ___squaretriangle is 8 by 12 by 10
Accepted Solution
A:
Perimeter: The perimeter of the triangle is the sum of its sides. We have then: P = 8 + 12 + 10 P = 30 units
Semi-perimeter: In geometry, the semiperimeter of a polygon is half its perimeter. s = P / 2 s = 30/2 s = 15 units.
Area: Knowing the semiperimeter and the sides, the area is: A = root (s * (s-a) * (s-b) * (s-c)) where, s: semi-meter a, b, c are sides. A = root (15 * (15-8) * (15-12) * (15-10)) A = 39.68626967 A = 40 units ^ 2