Answer:
- x = 98 mm
- x = 9
Step-by-step explanation:
1. Segments on one side of the angle bisector are proportional to those on the other side. We can use that fact with sums, as well
(KT +VT/KT = (KY +VY)/KY
(129.2 +57)/129.2 = x / 68 . . . . . substituting the given measures
Multiplying by 68 gives ...
68·186.2/129.2 = x = 98 . . . mm
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2. The top segment dimension on the left is 1/8 of the bottom segment dimension (9 cm = 1/8 · 72 cm). Since the top triangle is similar to the large triangle, the same ratio holds for the segments on the right:
3x -20 = (1/8) · 56
3x = 27 . . . . . . add 20
x = 9 . . . . . . . . .divide by 3
