SOLUTION: What is the sum of the lengths of the two diagnols in a 9 by 12 rectangle? A diagnol of a rectangle forms a #0 degree angle with each of the longer sides of the triangle. If the

Question 304006: What is the sum of the lengths of the two diagnols in a 9 by 12 rectangle?
A diagnol of a rectangle forms a #0 degree angle with each of the longer sides of the triangle. If the length of the shorter side is 3, what is the length of the diagnol?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the diagonal acts as a hypotenuse to the sides of the rectangle
So 9^2+12^2 = diagonal ^2
81+144= diagonal ^2
225 = diagonal^2
diagonal = 15
Sum of diagonals = 15+15 = 30
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A diagnol of a rectangle forms a 30 degree angle with each of the longer sides of the triangle. If the length of the shorter side is 3, what is the length of the diagnol?
sine 30 = 3/ diagonal
diagonal = 3/ sine 30
= 3/ 0.5
= 6 units is the diagonal
Ananth

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