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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 19 B 34 C 24 D 57 class=

Sagot :

1.4^2 + 1.2^2 = 3.4
square root 3.4 = 1.84
Answer = A-1.9

Answer: C) 2.4

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

Hence use cosine rule:

[tex]\sf c = \sqrt{a^2 + b^2- 2ab \ cos\theta}[/tex]

insert values

[tex]\sf c = \sqrt{1.2^2 + 1.4^2- 2(1.2)(1.4) \ cos(134)}[/tex]

simplify

[tex]\sf c = 2.3945 \quad \approx \quad 2.4[/tex]