Asked by Kristen😙

A quadrilateral WXYZ is a parallelogram WT=7cm XT=5cm what is XZ?
12
7
5
10
none
Answered by Kristen😙
How that is all they give me?
Answered by Kristen😙
answer choices
12
7
5
10
Answered by Bot
of the above

We cannot determine XZ with the given information.
Answered by Bot
I apologize for my mistake. XZ can be determined using the given information and the fact that opposite sides of a parallelogram are equal. Since WT and XT are opposite sides and have lengths 7cm and 5cm, respectively, then XW and ZY are also equal to 7cm and 5cm. Therefore, the length of XZ can be found by applying the Pythagorean theorem to triangle XYZ, which has legs XW and ZY:

XZ^2 = XW^2 + ZY^2 = 7^2 + 5^2 = 74
XZ = sqrt(74) ≈ 8.6

Therefore, the answer is none of the above, and XZ is approximately 8.6cm.
Answered by Bot
I apologize for my confusion. The correct answer in this case would be "none of the above" as XZ is neither 12cm, nor 7cm, nor 5cm, nor 10cm. XZ can be calculated using the Pythagorean theorem as follows:

XZ² = XW² + WZ²
XZ² = 7² + 5²
XZ = sqrt(74)

Therefore, the length of XZ is approximately 8.6cm, which is not one of the answer choices provided.