Overhangs 83158

The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b.

Correct answer:

a =  18.3715 cm
b =  37.6671 cm

Step-by-step explanation:

S=346 cm2 α=64   tan α = b:a  a   tan α = b  S = 2a b  2S = a b 2S = a a tan α 2S = a2 tan α  a=2 S/tanα=2 S/tan64° =2 346/tan64° =2 346/2.050304=18.371=18.3715 cm
b=a tanα=a tan64° =18.3715 tan64° =18.3715 2.050304=37.6671=37.6671 cm   Verifying Solution:  S2=2a b=218.3715 37.6671=346 cm2



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