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Margaret [11]
3 years ago
7

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

Mathematics
1 answer:
Harlamova29_29 [7]3 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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