Complete Question
Question 18 (3 points) Solve the problem. (3 points) A solar reflector is made using 31 identical triangular-shaped mirrors, each having sides 2.4m, 2. 3m, 1.5 m. What is the total surface area of the reflector?
A) 33 m2
B) 86 m2
C) 52 m2
D) 34 m2
Answer:
The value is [tex]Area =2.78 \ m^2[/tex]
Explanation:
From the question we are told that
The sides are a = 2.4 m
b = 2.3 m
c = 1.5 m
Generally the semi perimeter is mathematically represented as
[tex]s = \frac { a + b + c }{2 }[/tex]
=> [tex]s = \frac { 2.4 + 2.3 + 1.5 }{2 }[/tex]
=> [tex]s =3.1 \ m[/tex]
Generally the using Heron's formula we have that the surface are a is mathematically represented as
[tex]Area = \sqrt{S (S - a) (S - b )(S - c ) }[/tex]
=> [tex]Area = \sqrt{3.1 (3.1 - 2.4) (3.1 - 2.3 )(3.1 - 1.5 ) }[/tex]
=> [tex]Area =2.78 \ m^2[/tex]
