Question

In the figure, PQRV is a trapezium in which seg PQ || seg VR, SR=4 and PQ = 6.Find VR.​

Answer 1

Length of VR is 16.93.

Step-by-step explanation:

In the given trapezium PQ║VR and PT║QS.

In ΔQRS,

tan45° = $\frac{SR}{QS}$

1 = $\frac{SR}{QS}$  ⇒ SR = QS = 4

Since QS = PT = 4 [Since QS and PT are the distances between two parallel sides of a trapezium PQRV and they will be same in length]

Now in ΔPVT,

tan60° = $\frac{VT}{PT}$

$\sqrt{3}=\frac{VT}{4}$

VT = $4\sqrt{3}$

Since VR = VT + TS + SR

Therefore, VR = $4\sqrt{3}+6+4$

VR = $10+4\sqrt{3}$

VR = 16.93

Learn more about the trapezium from https://brainly.in/question/4600969