Answer:
m = 6
n = 9/2 = 4.5
Step-by-step explanation:
we are dealing with similar triangles, and you need to find the scaling factor from small to large (or vice versa).
so, the triangle with 2 and 3 as sides turns into the larger triangle with 4+2 and m+3 as sides.
so, what is the scaling factor to go from 2 to 4+2 (=6) ? the scaling factor is 3.
so, (m + 3) = 3×3
m + 3 = 9
m = 6
and now we are further growing into the large triangle.
that means the right side goes from 6 to 6+3 = 9.
the factor to go from 6 to 9 is 9/6 = 3/2.
so, n + 6 + 3 = 3/2 × (6 + 3)
n + 9 = 3/2 × 9 = 27/2
2n + 18 = 27
2n = 9
n = 9/2
