Constructing a Similar Triangle with a Scale Factor
Construct an ...
Question
Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then, construct another triangle whose sides are 34 times the corresponding sides of the first triangle. [2 MARKS]
Open in App
Solution
Construction : 2 Marks Steps of construction : Optional
Steps of construction :
1. Construct a Δ ABC with given measurement.
2. Below BC, make an acute angle ∠ CBZ.
3. Along BZ, mark off four points B1,B2,B3 and B4 such that BB1=B1B2=B2B3=B3B4
4. Join B4C
5. From B3, draw B3E∥B4C, meeting BC at E
6. From E, draw EF∥CA, meeting BA at F.
7. ΔFBE is the required triangle, each of whose sides is 34 times the corresponding side of Δ ABC