Mathematics
stevendiaz2001
54

What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.

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(1) Answers
andre84151

if we draw the diagonal we get a right triangle the legs are 5 and 5 and hyptonuse is the diagonal remmeber for a right triangle with legs a and  b and hyptonuse c a²+b²=c² so a=b=5 5²+5²=c² 25+25=c² 50=c² sqrt both sides 5√2=c the diagonal is 5√2 cm or about 7.0710678118654752440084436210485cm

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