Question

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Which equation can be used to solve for angle N in the triangle below?

A. 6.2^2 = 3.6^2 + 4.3^2 - 2(3.6)(4.3)cosN
B. 6.2^2 = 3.6^2 + 4.3^2 + 2(3.6)(4.3)cosN
C. 6.2^2 = 3.6^2 + 4.3^2 - (3.6)(4.3)cosN
D. 6.2^2 = 3.6^2 + 4.3^2 + (3.6)(4.3)cosN

Answer 1

Option A:

The equation used to solve for angle N is

 $6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N$

Solution:

Given data:

MO = 6.2 cm

ON = 4.3 cm

MN = 3.6 cm

To find the equation to solve for angle N:

Using cosine formula,

 $c^{2}=a^{2}+b^{2}-2 a b \cdot \cos C$

Here, a = 3.6 cm, b = 4.3 cm, c = 6.2 cm, and angle A = angle C

Substitute these in the formula, we get

 $6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N$

The equation used to solve for angle N is

 $6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N$

Hence option A is the correct answer.

Answer 2

Answer:

Thy answer is option A

Step-by-step explanation: