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Triangle 1 and 2 are parallel. Knowing that CD=4, AB=1 and CB=2, find MB.

Triangle 1 and 2 are parallel. Knowing that CD=4, AB=1 and CB=2, find MB.-example-1
User MonTea
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1 Answer

3 votes

Answer:

MB = 2/5 = 0.4

Explanation:

You want the measure of MB in the figure where AB║CD, AB = 1, CB = 2, CD = 4, and AD crosses CB at point M.

Similar triangles

Triangle ABM is similar to triangle DCM, so the side lengths are proportional.

CD/AB = CM/MB

4/1 = (2 -MB)/MB . . . . . . substituting CM = CB - MB

4·MB = 2 -MB . . . . multiply by MB

5·MB = 2 . . . . . . . . add MB

MB = 2/5 . . . . . . . . divide by 5

The length of segment MB is 2/5 = 0.4 units.

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User Svena
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