Question

A parallelogram has side lengths of 13 and 17 and an angle that measures 64°. Parallelogram W Y Z V is shown. The lengths of W V and Y Z are 13 and the lengths of W Y and V Z are 17. A diagonal is drawn from point V to point Y. The length of V Y is x. Angle V W Y is 64 degrees. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is x, the length of the diagonal, to the nearest whole number? 16 18 19 21

Answer 1

16 C

Explanation:

is right on edge 2021

Answer 2

`16\ \text{units}`

Explanation:

`WV=13\ \text{units}`

`WY=17\ \text{units}`

`\angle VWY=64^(\circ)`

`VY=x`

From cosine rule we have

`x=√(WV^2++WY^2-2WV* WY\cos \angle VWY)\\\Rightarrow x=\sqrt{13^2+17^2-2* 13* 17* \cos 64^(\circ)}\\\Rightarrow x=16.25\approx 16\ \text{units}`

Length of
`x` is
`16\ \text{units}`.