Construct a triangle ABC with sides BC=3cm AB=6cm and AC=4.5cm.Then Connecticut a triangle whose sides are 4/3 of the corresponding sides of the triangle ABC
Answers
Given : sides BC=3cm AB=6cm and AC=4.5cm.
To Find : Construct triangle ABC
Solution:
Step 1 : Draw a line segment AB = 6 cm
Step 2 : taking compass width= 4.5 cm and taking A as center draw an arc
Step 3 : taking compass width = 3 cm and taking B as center draw an arc such that it intersect arc drawn in step 2 at C
Step 4 : Join AC & BC
Required Triangle is Constructed
Another trinagle 4/3 times the corresponding sides
Similar to above but sides will be 4 , 8 & 6 cm
Geometric way to get 4/3 times the given line
Step 1 : Extend AB
Step 2 : Draw an acute angle at A on AB
Step 3 : using Suitable compass width , mark 4 points one by one at Equal distances at angle drawn in step 2
Step 4 : join 3rd point with Q
Step 5 : draw a line parallel to line drawn in step 4 , passing through 4th point in step 3 such that it intersect extended AB at B'
AB' = (4/3)AB
similarly other sides can be obtained
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