Question

justification for the following construction. construct angleY=30 degrees, angleZ=90 degrees and XY+YZ+ZX=11cm.

please give an appropriate answer...
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Answer 1

Step-by-step explanation:

Steps of construction:

⇒ Draw a line segment AB which is equal to XY + YZ + ZX = 11 cm.

⇒ Make an angle ∠Y = 30° from the point A and the angle be ∠LAB

⇒ Make an angle ∠Z = 90° from the point B and the angle be ∠MAB

⇒ Bisect ∠LAB and ∠MAB at the point X.

⇒ Now take the perpendicular bisector of the line XA and XB and the intersection point be Y and Z respectively.

⇒ Join XY and XZ .

∴ Therefore, XYZ is the required triangle

Hope it helps!