Calculate 9701

In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, the angle BCA = 35°. Calculate sides a, b.

Correct answer:

a =  5.455 cm
b =  9.5881 cm

Step-by-step explanation:

c=6 cm v1=5 cm γ=35   S=2c v1=26 5=15 cm2  tan α = v1:c1 tan β = v1:c2 c1+c2=c α+β+γ=180°  c1 tan α = v1 c2 tan (145°α) = v1 c1+c2=c  c1 tan α = v1 (cc1) tan (145°α) = v1  c1 tan α = 5 (6c1) tan (145°α) = 5  α=0.5485850.5486 rad A=α  °=α π180   °=0.5486 π180   °=31.43161  ° β=145/180πα=145/180 3.14160.54861.9821 rad B=β  °=β π180   °=1.9821 π180   °=113.56839  ° c1=v1/tanα=5/tan0.54868.1812 cm c2=cc1=68.18122.1812 cm  cos β = c2:a a=c2/cosβ=(2.1812)/cos1.9821=5.455 cm
cos α = c1:b b=c1/cosα=8.1812/cos0.5486=9.5881 cm

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