The size of the acute angle formed by the diagonals of the rectangle is 60s; the length of the diagonal

| August 11, 2021 | education

The size of the acute angle formed by the diagonals of the rectangle is 60s; the length of the diagonal is 8cm. Find the length of the shorter side of the rectangle.

In order to solve this problem, we will perform the following actions:

1) Let’s draw this figure by marking an acute angle between the diagonals.

2) Draw a perpendicular from the point of intersection of the diagonals to the smaller side of the triangle. 3) Since we have a rectangle, the diagonals are divided in half, as is the side to which we have drawn the perpendicular.

4) Then we have a right-angled triangle with an angle of 30 degrees opposite the side we need.

5) The hypotenuse of this triangle is 4 cm, then according to the theorem, which says that opposite the angle of 30 degrees lies a side half the size of the hypotenuse, we get the answer 2 cm.

Answer: 2cm.



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