Construct Line Segment LM (6 cm):
Draw a straight line using a ruler.
Mark a point on it and label it L.
Place the compass point on L and open it to 6 cm.
Swing the compass arc and mark the point M. Connect L to M.
Construct Line Segment PQ (7.5 cm):
Draw another straight line.
Mark a point P on it.
Open the compass to 7.5 cm.
Swing an arc from P and mark Q. Connect P to Q.
Construct Equilateral Triangle PQR:
From P, swing an arc with a radius of 5 cm.
From Q, swing another arc of 5 cm to intersect the first arc.
Label the intersection as R.
Connect P, Q, and R to form the equilateral triangle PQR.
Mark Midpoints and Draw Triangle XYZ:
Find the midpoints of sides PQ, QR, and PR. Mark them as X, Y, and Z.
Connect X, Y, and Z to form the triangle XYZ inside PQR.
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