Question 304006
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