Properties of proportional segments
Answers are for parents and teachers.
1
A segment of length 72 is divided in the ratio 1 : 2 : 3. How long is the largest part?
36
2
a : b = c : d with a = 9, b = 6, c = 12. Find d.
8
3
A segment is divided in the ratio 3 : 5 and the parts differ by 8 cm. How long is the segment (cm)?
32
4
AB₁ = 4, B₁B₂ = 6, AC₁ = 10 and B₁C₁ ∥ B₂C₂. Find C₁C₂.
15
5
Why is the smallest angle 36° if the angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4?
The angles add up to 360° and 360° : 10 = 36°.