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 = 66 b = 65.4
C = 42.7
A) 915.63
B) 1326.44
C) No triangle is formed.
D) 929.73

Question

Quizplus · Accepted Answer

The side lengths satisfy the triangle inequality theorem (66 + 65.4 > 42.7, 66 + 42.7 > 65.4, 65.4 + 42.7 > 66), so a triangle can be formed. Using Heron's formula, the semi-perimeter is (66 + 65.4 + 42.7)/2 = 87.05. The area is √(87.05*(87.05-66)*(87.05-65.4)*(87.05-42.7)) ≈ 1326.44.

Decide Whether a Triangle Can Be Formed with the Given