Calculate 83261

Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3

Correct answer:

S =  25.7576 cm2

Step-by-step explanation:

c=5 cm α=70°=70  c1:c2 = 1:3  c1=1+31 c=1+31 5=45=1.25 cm c2=cc1=51.25=415=3.75 cm  tan α = h:c2  h=c2 tanα=c2 tan70° =3.75 tan70° =3.75 2.747477=10.30304 cm  S=2c h=25 10.303=25.7576 cm2

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