# Can you solve a question that gives you two side lengths of a right angled triangle without Pythagorean Theorem?

##### 1 Answer

Jul 10, 2018

Yes you may. Consider the following example.

Since this is a right triangle, we may use primary trig ratios.

Call the angle between side

#sinB = 14/20 -> B ~~44.427˚#

We can also say that

#tanB = 14/x#

So divide 14 by the tangent of B.

#x = 14.28#

This is the same answer you would get via the pythagorean theorem.

#x = sqrt(20^2 - 14^2) =14.28#

Hopefully this helps!