Question

Uv = 8 and wx=5 find the missing measure of a rhombus

Answer 1

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