Question

A monitor measures 10.6 inches by 16.8 what is the length of the diagonal

Answer 1

Step-by-step explanation:

We will use pythagoras' Theorem for this question

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

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

${c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches$