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What is the length of side c, given a = 10, b = 8, and C = 105°? Round the answer to the nearest tenth.

[Not drawn to scale]

A. 2.3

B. 8.8

C. 11.1

D. 14.3

PLEASE ANSWER BRAINLIEST What is the length of side c given a 10 b 8 and C 105 Round the answer to the nearest tenth Not drawn to scale A 23 B 88 C 111 D 143 class=

Respuesta :

musiclover10045
Using the law of Cosines:

c^2 = 10^2 + 8^2 - 2*10*8*cos(105)

c^2 = 205.41
c = SQRT(205.41)
c = 14.3
 The answer is D


MrRoyal

The length of side c in the triangle is 14.3 units

How to solve for side c?

The given parameters are:

a = 10, b = 8, and C = 105°

The side c is calculated using the following law of cosine

c² = a² + b² - 2ab * cos(C)

So, we have:

c² = 10² + 8² - 2 * 8 * 10 * cos(105)

Evaluate

c² = 205.41

Take the square root of both sides

c = 14.3

Hence, the length of side c is 14.3 units

Read more about law of cosine at:

https://brainly.com/question/4316134

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