Construct a triangle PQR in which PQ+ OR+ PR=10 cm and
angle Q=30° and angle R=60°
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Step 1: Draw a line segment AB of 11cm
XY+YZ+ZX=11cm
Step 2: Using a protractor mark 30∘ at A, i.e ∠PAB and ∠QBA as 90∘
Step 3: Bisect 30∘ at A, i.e ∠PAB and ∠QBA at point X.
Step 4: Join XZ and make XZ perpendicular to AB.
Step 5: Draw perpendicular bisector of AX i.e ST.
Step 6: Mark the point Y where ST and AB intersect. Join XY
∴ We get △XYZ
HOPE SO IT WILL HELP.....
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Step-by-step explanation:
Steps of Construction:
1. Draw a line segment AB=11 cm. (=PQ+QR+RP).
2. At A, construct an angle of 30° and at B, an angle of 90°
3. Bisect these angles. Let the bisectors of these angles intersect at a point P.
4. Draw perpendicular bisectors DE of AP to intersect AB at Q and FG of PB to intersect AB at R.
5. Join PQ and PR. Then, PQR is the required triangle.
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