Question

What is the value of c, correct to one decimal place?

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A.4.6


B. 3.2


C. 2.8


D. 1.2

Answer 1

The correct answer is

3.2

:)

Answer 2

Option (b) is correct.

The value of c to one decimal place is 3.2

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,

`c^2=a^2+b^2-2ab\cos C`

So, Taking square root both side, we have,

`c=√(a^2+b^2-2ab\cos C)`

Here, a = 7 ,

b = 5

and C = 24.63°

Substitute, we have,

`c=\sqrt{7^2+5^2-2\cdot 7\cdot 5\cos (24.63^(\circ))}`

Simplify, we have,

c = 3.22

Thus, The value of c to one decimal place is 3.2