Answer:
[tex]4\sqrt{7}[/tex]
Step-by-step explanation:
The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)
Use pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]. a and b are both the same value
Square root to find c
The answer is then [tex]\sqrt{112}[/tex] now we need to simplify it further into radical form
Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112
These numbers are 16 and 7
16 is the perfect square number because when you square root it, it is a clean number... 4!
The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical
