Triangle and its heights

Calculate the length of the sides of the triangle ABC if va=5 cm, vb=7 cm and side b are 5 cm shorter than side a.

Correct answer:

a =  17.5 cm
b =  12.5 cm
c =  7.84 cm

Step-by-step explanation:

 sinγ=bva=avb b=a5  a=7557=17.5 cm
b=a5=12.5 cm
 cosγ=aa2vb2 c=a2+b22abcosγ=7.84 cm

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