construct a triangle ABC with BC is equal to 7 cm angle b is equal to 60 degree and a b is equal to 6 cm and construct an another triangle whose sides are 3 by 4 times the corresponding sides of triangle ABC. And also write steps of construction.
2. At B draw ∠CBY = 60° and cut off BA =6 cm from it.
3. Join AC. Thus ∆ABC is a given Triangle.
4. Now from B draw a ray BX making an acute ∠CBX on the side opposite to the vertex A.
5. Mark 4 points B1,B2,B3,B4 on BX such that BB1 = B1B2 = B2B3 = B3B4.
6.Join B4C and from B3 draw B3C’ || B4C intersecting BC at C’.
7. From point C’ draw C’A’ || CA intersecting AB at A’. Thus , ∆A’B’C’ is the required triangle whose sides are 3/4 of the corresponding sides of ∆ABC.
Answers & Comments
Answer:
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Step-by-step explanation:
STEPS OF CONSTRUCTION:
1. Draw a line segment BC =7cm.
2. At B draw ∠CBY = 60° and cut off BA =6 cm from it.
3. Join AC. Thus ∆ABC is a given Triangle.
4. Now from B draw a ray BX making an acute ∠CBX on the side opposite to the vertex A.
5. Mark 4 points B1,B2,B3,B4 on BX such that BB1 = B1B2 = B2B3 = B3B4.
6.Join B4C and from B3 draw B3C’ || B4C intersecting BC at C’.
7. From point C’ draw C’A’ || CA intersecting AB at A’. Thus , ∆A’B’C’ is the required triangle whose sides are 3/4 of the corresponding sides of ∆ABC.
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