Step-by-step explanation:
I just answered 1.
by using the principle of similar triangles (all angles are the same between the 2 triangles, and the ratio of a corresponding pair of sides is the same for all pairs of sides) we get
AB = 2×38 = 76
AC = 2×24 = 48
WX = CB/2 = 66/2 = 33
2.
the upper small triangle and the whole big triangle are similar triangles.
and we see the ratio of the legs is 1/2 (each leg of the small triangle is half of the leg of the large triangle).
therefore,
3x = 24/2 = 12
x = 12/3 = 4
3.
AC = 16
because the height of C splits the baseline precisely in half, it means that this is at least an isoceles triangle (both legs have the same length). therefore the answer.
AC = CB = 16.
