Construction Triangle Whose Perimeter and Base Angles Are Given
To construct ...
Question
To construct a triangle ABC in which ∠B=60∘,∠C=45∘ and AB + BC + AC = 12 cm
The steps of construction are: Step 1: Draw a line segment XY=12 cm Step 2: At X, construct an angle of 60∘and at y construct an angle of 45∘ Step 3: Bisect these angles. Let bisector of these angles intersect at point A Step 4 will be
A
Draw perpendicular bisector PQ of XA to intersect XY at B and RS of YA to intersect XY at C
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B
Draw perpendicular bisector PQ of XB to intersect XY at B and RS of YC to intersect XY at C
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C
Join AB and AC to obtain required ΔABC
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D
Bisect these angles.Let bisector of these angles intersect at point A
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Solution
The correct option is ADraw perpendicular bisector PQ of XA to intersect XY at B and RS of YA to intersect XY at C Step 4: Draw perpendicular bisector PQ of XA to intersect XY at B and perpendicular bisector RS of YA to intersect XY at C. Then join points A, B and C. ΔABC is the required triangle.