SOLUTION: Please help me solve this question: The diagonal of a rectangle are 10cm long. They intersect at an angle of 120 degrees. Make a sketch of the rectangle. Use trigonometry to calcul

Question 865591: Please help me solve this question: The diagonal of a rectangle are 10cm long. They intersect at an angle of 120 degrees. Make a sketch of the rectangle. Use trigonometry to calculate the perimeter of the rectangle.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
They also intersect at 60 degrees. This makes four isosceles triangles having non-base sides of 5 cm. each. If you focus on the 120 degree isosceles, its equal base angles each are 30 degrees. Now, focus on just ONE half of the rectangle and the triangle formed as half the rectangle. This is a right triangle of hypotenuse 10 cm, and angles are 30, 60, 90. This right triangle is theoretically half of an equilateral triangle. The short side is cm. The long side, all it a, is related as . Solve for a.

Now, having the long side a and short side 5, you can find perimeter:
.
RELATED QUESTIONS
please can you help 1) Opposite corners of a small rectangular park are joined by... (answered by richwmiller)

Please help me solve this trigo problem. Two roads intersect at an obtuse angle. Two... (answered by stanbon)

The Diagonal of a Rectangle is 25 cm. long and makes an angle of 20 degrees with one side (answered by TimothyLamb)

Please help me solve this problem The sides AB and AD of a square are extended 10cm and... (answered by checkley77)

The diagonals of rectangle BANK intersect at S such that angle ANS is 120 degrees,... (answered by rothauserc)

Can you please help me with this question. The area of a square garden is 50 m^2. How... (answered by checkley71)

please help me with this question: one vertex of a rectangle is (5,1); the diagonals... (answered by josgarithmetic)

please help me solve this question "if the length of perpendicular from the origin to a... (answered by lwsshak3)

the diagonals of a rectangles are 24 inches long intersect at an angle of 60 degrees.find (answered by cleomenius)