Answer:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Step-by-step explanation:
At first we should know the following about the rhombus
1) All sides are congruent
2) The diagonals are perpendicular and bisects each other.
Given UV = 8 and WX = 5
So, according to (1)
TU = UV = VW = WT = 8
And according to (2)
WX = UX = 5
And ΔWXV is a right triangle at ∠x
So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39
∴XV = √39
So, XV = XT = √39
So, the missing measure of a rhombus are as following:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
