Triangle and its heights

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

Correct result:

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

Solution:

 sin⁡γ=vab=vba b=a−5  a=5⋅77−5=17.5 cm
b=a−5=12.5 cm
 cos⁡γ=a2−vb2a c=a2+b2−2abcos⁡γ=7.84 cm

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

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