a square and a rectangle have the same length diagonal. Find x
square = 2 unknows sides
and the rectangle = 4 by 7 cm
Let x be the unknown side of the square, and let d be the length of the diagonal.Originally Posted by [confused]
Then by the Theorem of Pythagoras, applied to the square, or , and by applying the theorem to the rectangle, . You should draw two pictures and label them to convince yourself, one for the square and one for the rectangle. Then explain the pictures to a friend.
Equate the two terms, thus . Therefore, and .