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Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.

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Steps of construction:

Step 1: Draw a line segment XY of 10cm.

Step 2: Draw DXY = B = 90o and FYX = C =60o

Step 3: Draw the angle bisectors of DXY  andEYX  which intersects each other at A.

Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.

Step 5: Join AB and AC

Therefore ΔABC is the required triangle

by (10 points)
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