Refer to the triangle below. If a = 4 and b = 6, solve for c. show work Also, give the unsimplified radical form answer and then the decimal form answer rounded to the nearest hundredth.

Look at the image below where I labeled the sides
To solve this you must use Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 4
b = 6
c = unknown
^^^Plug these numbers into the theorem
[tex]4^{2} +6^{2} =c^{2}[/tex]
simplify
16 + 36 = [tex]x^{2}[/tex]
52 = [tex]x^{2}[/tex]
To remove the square from x take the square root of both sides to get you...
√52 = x
^^^Unsimplified radical
2√13
^^^Simplified radical
7.21
^^^Rounded to hundedths
Hope this helped!
~Just a girl in love with Shawn Mendes