Question:
Construct a isosceles triangle whose base is 8cm and altitude is 4cm.Then,draw another triangle whose sides are 1 1/2 times the corresponding sides of the isosceles triangle
Answer:
Construction of Triangle:
1. Draw a line segment AB = 8 cm
2. Draw two intersecting arcs at 4 cm distance from points A and B on either side of AB.
3. Now join these arcs to get perpendicular bisector CD of AB.
4. Join A and B to C to get the triangle ABC.
Again
1. Draw a ray DX at an acute angle from point D.
2. Plot 3 points on DX so that DD1 = D1 D2 = D2 D3
3. Now join D2 to point B
4. Draw a line from D3 parallel to D2 B so that it meets the extension of AB at B1
5. Again draw B1 C1 parallel to BC
6. Draw A1 C1 parallel to AC
So traingle A1 B1 C1 is the required traingle.
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