Decide whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the
triangle.
-a = 21.3 b = 14.7
C = 14.9
A) 109.45
B) No triangle is formed.
C) 118.45
D) 112.45

Question

Quizplus · Accepted Answer

The sum of any two sides of a triangle must be greater than the third side. In this case, 21.3 + 14.7 = 36, which is greater than 14.9. Therefore, a triangle can be formed.To find the area of the triangle, we can use Heron's formula:```Area = sqrt(s(s-a)(s-b)(s-c))```where s is the semiperimeter of the triangle:```s = (a + b + c) / 2```In this case,```s = (21.3 + 14.7 + 14.9) / 2 = 25.45```Therefore, the area of the triangle is:```Area = sqrt(25.45(25.45-21.3)(25.45-14.7)(25.45-14.9)) = 109.45```Therefore, the correct answer is A.

Decide Whether a Triangle Can Be Formed with the Given