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ABCD is a trapizoid of bases [AB] and [DC], M and N are the midpoint of [AD] and [BC] if DC=11cm and MN=9cm then AB=

Sagot :

MrRoyal

Answer:

[tex]AB = 7[/tex]

Step-by-step explanation:

Given

[tex]DC = 11[/tex]

[tex]MN = 9[/tex]

Required

Find AB

Since MN is the midpoint, then:

[tex]MN = \frac{1}{2}(AB + DC)[/tex]

[tex]9 = \frac{1}{2}(AB + 11)[/tex]

Multiply by 2

[tex]2 * 9 = \frac{1}{2}(AB + 11)*2[/tex]

[tex]18 = AB + 11[/tex]

[tex]AB = 18 - 11[/tex]

[tex]AB = 7[/tex]

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