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3 votes
Determine the length of side QS.
A) 1.9
B) 3.4
C) 2.4
D) 5.7

Determine the length of side QS. A) 1.9 B) 3.4 C) 2.4 D) 5.7-example-1

2 Answers

9 votes
1.4^2 + 1.2^2 = 3.4
square root 3.4 = 1.84
Answer = A-1.9
User Bassim
by
4.6k points
9 votes

Answer: C) 2.4

Given one opposite angle, two known sides and one missing side.

Hence use cosine rule:


\sf c = √(a^2 + b^2- 2ab \ cos\theta)

insert values


\sf c = √(1.2^2 + 1.4^2- 2(1.2)(1.4) \ cos(134))

simplify


\sf c = 2.3945 \quad \approx \quad 2.4

User Oxana
by
4.8k points