The corresponding angles in △ABC are congruent to the corresponding angles in △FGH. The measures of two corresponding sides of the triangles are given:
since The corresponding angles in △ABC are congruent to the corresponding angles in △FGH, so they are similar triangles. in a similar triangles, their corresponding sides are in proportion. so AB / AC = FG / FH substitute the given values 4 / 6 = x + 11 / 7x then solve for x 28x = 6x + 66 22x = 66 x = 3
