Lots of points! the information given represents lengths of sides of a right triangle with c the hypotenuse. find the correct missing length to the nearest hundredth. a calculator may be .
a = 16, b = 28, c =
which of the following answer choices would fit in the blank space?
a. 31.46
b. 31.94
c. 32.09
d. 32.25
explain your answer , don't just put one of the choices and leave! ; )

Pythagoras Theorem:
hipotenuse²=side1²  +side2²

a=is the longest side of the triangle (hypotenuse)
b and c: are the other two sides.

In this case:
hipotenuse²=side₁² + side₂²

side₁=a=16
side₂=b=28

c²=16²+28²
c²=256+784
c²=1040
c=√1040=32.2490≈32.25

  D.    32.25

Hey there. 

To solve this problem we have to use the Pythagorean theorem. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

⇒ a² = 16

⇒ b² = 28 

⇒ c² = unknown 

To solve the problem you have to add a² and b². 

a² = 16
b² = 28  

16² + 28² = c² 

16² = 16 x 16 
28² = 28 x 28

16² = 256
28² = 784

258 + 784 = 1040

a² + b² = 1040

The next step is to find the square root of 1040

√1042 = 32.2490

= 32.2490 is rounded to 32.25 

Answer = (D)