Answer to Question 10

rectgraph Graph the rectangle and draw the diagonals.
Look at the diagonals separately.
RED: Draw a right triangle using the diagonal from B to D as the hypotenuse. Count the legs and find BD.
Legs are 1 and 8 by counting.
12 + 82 = (BD)2
1 + 64 = (BD)2
BD = sq65

GREEN: Draw a right triangle using the diagonal from A to C as the hypotenuse. Count the legs and find AC.
Legs are 7 and 4 by counting.
72 + 42 = (AC)2
49 + 16 = (AC)2
AC = sq65
The diagonals are the same length.

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