Question

A TV screen is 62 cm tall and 127 cm on its diagonal, how wide is it?

Answer 1

Step-by-step explanation:

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Let a be the width of the TV ;

d be the diagonal

l be the length

$a = x$

$d = 127 \: cm$

$l = 62 \: cm$

By Pythagoras theorem;

${d}^{2} = {a}^{2} + {l}^{2}$

${127}^{2} = {x}^{2} + {62}^{2}$

$16129 = {x}^{2} + 3844$

${x}^{2} = 16129 - 3844$

$x = \sqrt{12315}$

$x = 110.97$

Therefore the TV's width is 110.97 cm