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1 year ago

If B is the midpoint of AC, AB = x + 6, and AC = 5x - 6, then what is BC?

Mathematics

1 answer:

vovikov84 [41]1 year ago

7 0

The length of BC is equivalent to 12 units

<h3>Midpoint of a line</h3>

If the midpoint if Ac is B, then the expressions below are true;

AB+BC = AC

AB = BC

Given the following parameters

AB = x + 6, and

AC = 5x - 6

BC = x + 6

Substitute

x+6+x+6 = 5x - 6

2x+12 = 5x - 6

2x-5x = -6-12

-3x = -18

x = 6

Determine the measure of BC

BC = x + 6

BC= 6 + 6

BC = 12units

Hence the length of BC is equivalent to 12 units

Learn more on midpoint here: brainly.com/question/5566419

#SPJ1

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You can write the expression it in the following way:

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Method 2

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It should be noted that the other two angles sum up to 90 degrees., hence I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.