Find the exact values of x and r x r SolutionIn the right

Find the exact values of x and r. (x, r) = ()

Solution

In the right angle triangle given: Base=x , Perpendicular=21 , Hypotenuse=r

So , tan(theta) = perpendicular/base => tan(45°) = 21/x => 1= 21/x

Then, x=21

Applying Pythagoras , r² = x² + 21²

r = (21² + 21²)^1/2 = 212

Therefore (x,r) = ( 21 , 212)