Respuesta :

Given triangle is a right angle triangle so we are allowed to use trigonometric formulas.

We want to find Hypotenuse using angle A and base 7 cm

so right choice is to use cosine

[tex] \cos(A)=\frac{AC}{AB} [/tex]

[tex] \cos(25^{\circ})=\frac{7}{AB} [/tex]

[tex] 0.90631=\frac{7}{AB} [/tex]

[tex] AB=\frac{7}{0.90631} [/tex]

[tex] AB=7.72362657369 [/tex]

Hence value of side AB is approx 7.72 cm.

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