Question

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.​

Answer 1

Look at the image below where I labeled the sides

To solve this you must use Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

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

$4^{2} +6^{2} =c^{2}$

simplify

16 + 36 = $x^{2}$

52 = $x^{2}$

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