To find the measure of BC, we can use the fact that E and F are midpoints, which means that BD = 2*EF and CD = 2*CF.
Given that BD = 6x - 4 and EF = -32 + 8x, we have:
6x - 4 = 2*(-32 + 8x)
6x - 4 = -64 + 16x
10x = 60
x = 6
Now that we have found the value of x, we can substitute it back into the equation BC = 6x - 4:
BC = 6*6 - 4
BC = 36 - 4
BC = 32
Therefore, the measure of BC is 32.
In the diagram below of triangle B, C, DBCD, EE is the midpoint of start overline, B, D, end overline
BD
and FF is the midpoint of start overline, C, D, end overline
CD
. If E, F, equals, minus, 32, plus, 8, xEF=−32+8x, and B, C, equals, 6, x, minus, 4BC=6x−4, what is the measure of start overline, B, C, end overline
BC
?
1 answer