Question
Construct an isosceles triangle whose base is 9cm and altitude 5cm. Construct another triangle whose side are $\frac34$ of the corresponding sides of the first isosceles triangle.
✓
Answer
Steps of construction:
- Draw a line segment BC = 9cm
- Draw peependicular bisector PQ of BC Meeting it at M.
- Fron QP cut-off a distance MA = 5cm.
- Join AB and AC.
- Below BC, make an acute $\angle\text{CBX}.$
- Along $B X$, mark off 4 points $B_1, B_2, B_3, B_4$, such that $B_1, B_1 B_2=B_1 B_3=B_3 B_4$.
- Join $\mathrm{B}_4 \mathrm{C}$
- From $B_3$, draw $B_3 C^{\prime} \| B_4 C$, meeting $B C$ at $C^{\prime}$.
- From C', draw C' A' || CA, meeting AB at A'.
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