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Question

Complete the steps to construct a triangle XYZ in which Y=45,Z=90 and XY + YZ + ZX = 13 cm.

Steps of construction:Step 1: Draw a line segment AB=13 cm.Step 2: At A, construct an angle of 45 and at B construct an angle of 90.Step 3 will be :


A
Draw perpendicular bisection CD of AX to intersect AB at Y.
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B
Join XY and XZ to obtain required triangle XYZ.
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C
Draw perpendicular bisector EF of XB to intersect AB at Z
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D
Bisect these angles. Let bisector of these angles intersect at point X.
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Solution

The correct option is D Bisect these angles. Let bisector of these angles intersect at point X.
Steps of construction:

Step 1: Draw a line segment AB=13 cm.

Step 2: At A, construct an angle of 45
and at B construct an angle of 90.

Step 3: Bisect these angles. Let bisector of these angles intersect at point X. Join AX and BX.

Step 4: Draw perpendicular bisectors of AX and BX to intersect AB at Y and Z respectively. Join AB and AC.

Then, ABC is the required triangle.


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