Question

Find the missing side of each triangle. Leave your answer in simplest radical form.

Answer 1

Answer:

x=$\sqrt{220}$

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that  

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

In this case,

x=a

b=6

c=16

So to plug these into the equation, we get:

x²+6²=16²

To isolate x,

we get:

x²=16²-6²

x=$\sqrt{16^2-6^2}$

$x=\sqrt[]{220}$