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2 years ago

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

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

3 0

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

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