Scribepost for January 5, 2010

Question #16

What is the length of the red diagonal in the box? Express your answer to the nearest tenth of a millimetre.

a2 + b2 = c2
7 squared + 12 squared = c2
( 7 x 7 ) + (12 x 12 ) = c2
49 + 144 = c2
193 = c2
square root of 193 = square root of c2
13.9 mm = c2

a2 + b2 = c2
5 squared + 13.9 squared = c2
( 5 x 5 ) + ( 13.9 x 13.9 ) = c2
25 + 193.2 = c2
218.2 = c2
square root of 218.2 = square root of c2
14.8 mm = c2

The length of the red diagonal line is 14.8 mm.

THANKS TO JERIC AN JOMARI FOR HELPING MEE =D