My teacher made us draw the kite and the rhombus on centimetre-grid paper, and he said each tiny square counts for 1 cm. What I'm wanting to know is how do I find the diagonals of the sides. He said to draw boxes around the kite and the rhombus but how do I find how much the lengths are from that? Do I divide or something?

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If the vertices of your kite and rhombus lie on a point that’s easily readable (like (5, 3) or (-1, 8)), then when you draw the box, you will have a right triangle. From there, you can count off the legs of the triangle and use the Pythagorean theorem to calculate the lengths of the diagonals.