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This problem says if the diagram below of triangle a, b, c, d is the midpoint of a .c and e is the midpoint of b .c.
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If d .e is 34 minus 6x, and a .b.
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Is 28 minus 4x.
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What is the measure of d .e? so the actual length of d .e.
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And what we need to use here is something called the triangle mid -segment theorem when we have these two midpoints connected by a segment.
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And the rule is, is that segment that is created is one half of the length of a -b.
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In this case.
00:31
So 34 minus 6 is one half of 28 minus 4x.
00:36
And to show that, we'll set 34 minus 6x equal to our length for a, b, cut in half.
00:42
So one half of 28 minus 4x...