Question

Point m is the midpoint of ab¯¯¯¯¯ . am=3x+3, and ab=8x−6. what is the length of am¯¯¯¯¯¯ ?

Answer 1

As given m is a midpoint of ab. So am is half of ab.

So we can write

$am = \frac{ab}{2}$

As given am = 3x+3 , ab = 8x - 6.

So $3x+3 = \frac{8x - 6}{2}$

$3x+3 = \frac{2(4x - 3)}{2}$

$3x+3 = 4x - 3$

$3+3 = 4x - 3x$

$6 = x$

So x = 6.

So length of am = 3x+3 = 3*6 + 3 = 21