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Question Number 174963 by MikeH last updated on 14/Aug/22

Commented by thfchristopher last updated on 15/Aug/22

$$\mathrm{But}\mathrm{there}\mathrm{is}\mathrm{no}\mathrm{such}\mathrm{option}\mathrm{for}7.31...$$

Answered by a.lgnaoui last updated on 15/Aug/22

$$7,31$$

Answered by behi834171 last updated on 15/Aug/22

$$XY=b$$$$\Rightarrow {XZ}^2={XY}^2+{YZ}^2-2XY.YZ.\mathit{c}\mathit{o}\mathit{s}\stackrel{}{\mathit{Y}}$$$$\Rightarrow 5^2=b^2+b^2-2b^{2}cos40\Rightarrow$$$$\Rightarrow {\mathit{b}}^2=\frac{25}{2(1-\mathit{c}\mathit{o}\mathit{s}40)}\Rightarrow \mathit{b}=7.31.◼$$

Commented by MikeH last updated on 15/Aug/22

$$\mathrm{thank}\mathrm{you}\mathrm{sir}.\mathrm{I}\mathrm{solved}\mathrm{that}\mathrm{and}\mathrm{I}\mathrm{was}\mathrm{shock}$$$$\mathrm{that}\mathrm{I}\mathrm{was}\mathrm{wrong}$$

Answered by mr W last updated on 15/Aug/22

$$XY=\frac{5}{2\sin \frac{40°}{2}}\approx 7.31$$

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