A parallelogram has sides of lengths 5 and 4, and one angle is 41°.
What is the length of the smaller diagonal?
What is the length of the longer diagonal?
+130516 Parallelograms have the propery that consecutive angles are supplementary.
The length of the smaller diagonal - SD - is given by the Law of Cosines, thusly :
SD^2 = 4^2 + 5^2 - (2)(4)(5)cos(41) =
SD^2 = about 3.288 units
The length of the longer diagonal - LD - is given by
LD^2 = 4^2 + 5^2 - (2)(4)(5)cos(180-41) =
LD = about 8.44 units
+130516 Parallelograms have the propery that consecutive angles are supplementary.
The length of the smaller diagonal - SD - is given by the Law of Cosines, thusly :
SD^2 = 4^2 + 5^2 - (2)(4)(5)cos(41) =
SD^2 = about 3.288 units
The length of the longer diagonal - LD - is given by
LD^2 = 4^2 + 5^2 - (2)(4)(5)cos(180-41) =
LD = about 8.44 units
