Locus of the Points Equidistant From Two Given Points
Construct a t...
Question
Construct a triangle of sides 5cm,6cm and 7cm, then construct a triangle similar to it, whose sides are 23 of corresponding sides of the first triangle.
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Solution
Making the triangle
Draw a line segment AB = 5 cm
Draw an arc at 6 cm from point A.
Draw an arc at 7 cm from point B so that it intersects the previous arc.
Joint the point of intersection from A and B.
This gives the required triangle ABC.
Dividing the base:
Draw a ray AX at an acute angle from AB
Plot three points on AX so that; AA1 = A1A2 = A2A3
Join A3 to B.
Draw a line from point A2 so that this line is parallel to A3B and intersects AB at point B'
Draw a line from point B' parallel to BC so that this line intersects AC at point C'