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21/07/2021 11:49 am
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Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
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21/07/2021 11:52 am
Construction Procedure:
The steps to draw the triangle of given measurement is as follows:
1. Draw a line segment AB which is equal to XY + YZ + ZX = 11 cm.
2. Make an angle ∠Y = 30° from the point A and the angle be ∠LAB
3. Make an angle ∠Z = 90° from the point B and the angle be ∠MAB
4. Bisect ∠LAB and ∠MAB at the point X.
5. Now take the perpendicular bisector of the line XA and XB and the intersection point be Y and Z, respectively.
6. Join XY and XZ
7. Therefore, XYZ is the required triangle