Rectangle 49153

Rectangle ABCD, whose | AB | = 5cm, | AC | = 8 cm, ∢ | CAB | = 30 °. How long is the other party and what is its area?

Correct answer:

b =  4 cm
S =  20 cm2

Step-by-step explanation:

a=5 cm u=8 cm φ=30   sinφ=b:u b=u sinφ=u sin30° =8 sin30° =8 0.5=4=4 cm   Verifying Solution:   b2=u2a2=8252=39 cm6.245 cm
S=a b=5 4=20 cm2

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