Construct such that BC = 6.4cm, LC = 90o and AB + AC = 9cm
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Answer:
1. Draw a line BC=5cm
2. Construct 40 at B. Extend BP.
3. Take 2.8cm on a compass and cut an arc on BP. Join CX.
4. Take a perpendicular bisector of CX. It intersects with BP at A.
5. Join AC
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Steps of construction:
(1) Draw a line segment XY.
(2) Locate B, C on XY such that BC=4cm
(3)Construct a line segment BD, sufficiently large, such that ∠B=90°
(4)With C as centre and radius 5cm draw an arc, cutting BD at A; join AC.
Then, ABC is the required triangle.
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