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Home > CCG > Chapter 7 > Lesson 7.1.4 > Problem 7-44

7-44.

In problem 7‑41 you learned that the diagonals of a rhombus are perpendicular bisectors. If is a rhombus with side length mm and if mm, then find the length of the other diagonal, . Draw a diagram and show all work.  

Make an accurate and well-labeled diagram of the situation.

Use the right triangle and the Pythagorean Theorem to solve for .

mm

A, B, C, D, is a rhombus with side length 15 mm and B, D equals, 24 millimeters. Dotted lines B, D and A, C intersect in the middle at point, E. Lines B, E and E, D are both 12 millimeters. Side E, C is labeled X.