Hanako88idn
Answered

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Find the length of the median of each trapezoid​

Find The Length Of The Median Of Each Trapezoid class=

Sagot :

UK2019idn

✏️MEDIAN

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[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • Find the length of the median of each trapezoid.

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[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex]\qquad\LARGE\rm» \:\: \green{AB = 11 \: units}[/tex]

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[tex]\underline{\mathbb{SOLUTION:}}[/tex]

- One theorem suggests that the length of the median in the trapezoid that is parallel to the bases is half the sum of the length of its bases.

  • [tex]\begin{gathered} AB = \frac{VW + UX}{2}\end{gathered} [/tex]

- Substitute the given values to find the length of segment/median AB.

  • [tex]\begin{gathered} AB = \frac{9 + 13}{2}\end{gathered} [/tex]

  • [tex]\begin{gathered} AB = \frac{22}{2}\end{gathered} [/tex]

  • [tex]AB = 11[/tex]

[tex]\therefore[/tex] The length of the segment AB is 11 units.

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