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7. The short sides of a parallelogram are both 12.0 cm. The acute angles

of the parallelogram are 65°, and the short diagonal is 15.0 cm.

Determine the length of the long sides of the parallelogram. Round

your answer to the nearest tenth of a centimetre.


Please help explain this question

Sagot :

Answer:

25.6 cm

Step-by-step explanation:

Given :

The acute angle = 65°

The length of the shortest side = 12 cm

The length of the diagonal is = 15 cm

Therefore the length of the longest side can be found out by :

[tex]\tan 65^\circ=\frac{BC}{AB}[/tex]

[tex]2.14=\frac{12}{AB}[/tex]

AB = 12 x 2.14

    = 25.6 cm

Therefore the length of the longest side is 25.6 cm

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