Given parallelogram QRST if QS=15 and ST=24 calculate RT
6
15
22
11
none
Since opposite sides of a parallelogram have the same length, we know that QR = ST = 24.
To find RT, we can use the fact that QRST is a parallelogram and therefore opposite sides are parallel. This means that we can use the Pythagorean theorem to find RT, since it forms a right triangle with QS and QR:
QS^2 + QR^2 = RS^2
15^2 + 24^2 = RS^2
225 + 576 = RS^2
801 = RS^2
RS = sqrt(801)
Therefore, RT = RS - ST = sqrt(801) - 24 ≈ 11.
Given parallelogram QRST if QS=7 and ST=17 calculate RT
Since opposite sides of a parallelogram have the same length, we know that QR = ST = 17.
To find RT, we can use the fact that QRST is a parallelogram and therefore opposite sides are parallel. This means that we can use the Pythagorean theorem to find RT, since it forms a right triangle with QS and QR:
QS^2 + QR^2 = RS^2
7^2 + 17^2 = RS^2
49 + 289 = RS^2
338 = RS^2
RS = sqrt(338)
Therefore, RT = RS - ST = sqrt(338) - 17 ≈ 11.71.
To find the length of RT in parallelogram QRST, we can use the properties of a parallelogram.
In a parallelogram, opposite sides are equal in length.
We are given that QS = 15, so ST must also be equal to 15.
Since opposite sides are equal, RT must also be equal to 15.
Therefore, the length of RT is 15.