SOLUTION: draw quadrilateral QRST. the length of ST is 6 cm. Angles S and T are both 60 degrees. the length of sides RS and QT are 2 cm. Which two line segments are parallel Search instead

Algebra ->  Parallelograms -> SOLUTION: draw quadrilateral QRST. the length of ST is 6 cm. Angles S and T are both 60 degrees. the length of sides RS and QT are 2 cm. Which two line segments are parallel Search instead      Log On


   



Question 942045: draw quadrilateral QRST. the length of ST is 6 cm. Angles S and T are both 60 degrees. the length of sides RS and QT are 2 cm. Which two line segments are parallel
Search instead for draw quadrilateral QRST. the length of ST is 6 cm. Angles S and T are both 60 degrees. the length of sides RS and QT are 2 cm. Which two line sigments are parallel

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Triangles TPQ and ROS are congruent by Angle-Angle-Side, because they have
congruent pairs of 90%5Eo Angles, followed by
congruent pairs of 60%5Eo Angles, and then
congruent pairs of 2cm Sides.
Since triangles QPT and ROS are congruent, their corresponding parts,
including sides QP and RO, are congruent.
The lengths of RO, and QP are the same and are the distance between parallel lines QR and TS.
QRST is an isosceles trapezoid.

NOTE:
For your drawing,
QROP is a rectangle.
The lengths, in cm, are
RO=QP=2%2Asin%2860%5Eo%29=2%2A%28sqrt%283%29%2F2%29=sqrt%283%29=1.732 ,
TP=SO=2%2Acos%2860%5Eo%29=2%2A%281%2F2%29=1 , and
QR=OP=4cm .