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r-ruslan [8.4K]
3 years ago
12

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

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

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

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