construct a triangle ABC in which base BC=4 6cm angle B = 45 degree and AB+CA=8 2cm - Maths - Constructions

Question

construct a triangle ABC in which base BC=4 6cm angle B = 45
degree and AB+CA=8 2cm

Gaurav Sharma · Answer

Constructing triangle ABC in which AB = 5 8 cm , BC + CA =
8 4 cm and ∠B = 45°

Step 1: Draw a line segment AB 5 8 cm

Step 2 : Draw ∠B = 45°

Step 3 : With Center B and radius 8 4 cm, make an arc
which intersects BX at D

Step 4 : Join D to A

Step 5 : Draw a perpendicular bisector of segment DA
it intersect the line segment BD at point C

Step 6 : Join C to A

ABC is the required triangle

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"http://www%20ask-math%20com/images/ConstructionTriangle-1%20png"
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construct a triangle ABC in which base BC=4.6cm angle B = 45 degree and AB+CA=8.2cm.