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:

 sinγ=vab=vba b=a5  a=5775=17.5 cm
b=a5=12.5 cm
 cosγ=a2vb2a c=a2+b22abcosγ=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.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

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