Answer:
Option (b) is correct.
The value of c to one decimal place is 3.2
Step-by-step explanation:
Given : A triangle with some measurements are given.
We have to find the measure of side c.
Consider the given triangle ABC,
Using Laws of cosine,
a, b, c are the sides of a triangle and C is the angle opposite to side c.
then,
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
So, Taking square root both side, we have,
[tex]c=\sqrt{a^2+b^2-2ab\cos C}[/tex]
Here, a = 7 ,
b = 5
and C = 24.63°
Substitute, we have,
[tex]c=\sqrt{7^2+5^2-2\cdot 7\cdot 5\cos (24.63^{\circ})}[/tex]
Simplify, we have,
c = 3.22
Thus, The value of c to one decimal place is 3.2
