# If the

If the tangent of an angle of a right angled triangle is 0.8. Then its longest side is. .. .

Result

c =  1.281 b

#### Solution:

$\tan A=0.8 \ \\ \tan A=a/b \ \\ a/b=0.8 \ \\ \ \\ a=0.8 \ b \ \\ \ \\ c=\sqrt{ a^2+b^2 }=b \sqrt{ 0.8^2+1^2 } \ \\ c=\sqrt{ 0.8^2+1^2 } \doteq 1.2806=1.281 \ \text{b}$

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Pythagorean theorem is the base for the right triangle calculator.

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