triangle abc can be constructed with bc=5cm,angle c=30degree and ac-ab=3 8cm state true or false with reason and show the - Maths - Constructions

Question

triangle abc can be constructed with bc=5cm,angle c=30degree and
ac-ab=3 8cm state true or false with reason and show the steps if
yes pls ans asap

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

Yes, a triangle can be construted for the same
Given: In ∆ABC, BC=5 cm, ∠C=30° and AC-AB=3
8 cmTo construct: ∆ABCSteps of construction:1
 Draw a line segment BC=5 cm 2
 At point C, make ∠XCB=30° 3
 With C as centre, draw an arc of radius 3
8 cm to intersect the ray CX at point D
4  Join BD 5
 Draw a perpendicular bisector PQ of BD intersecting the ray CX at point A
6  Join AB
Hence, ABC is the required triangle

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triangle abc can be constructed with bc=5cm,angle c=30degree and ac-ab=3.8cm.state true or false with reason and show the steps if yes..............pls ans asap