SOLUTION: In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find |ab| If you can help, thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find |ab| If you can help, thank you.       Log On


   

Question 397346: In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find
|ab|

If you can help, thank you.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note using < for angle does not work in the translation for this site.

|ac| has another meaning than for side lengths of triangles,

might recommend just using  'ac'

In a triangle abc,|ac|=16cm,|bc|=10cm, ∠bac=30 degrees. If ∠abc = 90 degrees, find |ab|

 ac is across from the right angle and therefore length 16cm is the hypotenuse

Pythagorean Theorem applies:  ac = sqrt(16cm^2 - 10cm^2) = 12.49cm