Constructing a Triangle when Three Sides are Given
Construct ΔAB...
Question
Construct ΔABC such that AB = 6 cm, BC = 7 cm, and AC = 5 cm. Find the measure of ∠C.
A
57°
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B
64°
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C
49°
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D
67°
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Solution
The correct option is A 57° Steps of construction:
Step 1: Draw line segment AB = 6 cm.
Step 2: With A as centre, cut an arc of radius 5 cm.
Step 3: With B as centre, cut an arc of radius 7 cm.
Step 4: Mark the point of intersection of are drawn as C.
Step 5: Join A and C, and B and C.
From the above construction, measure the ∠C using protractor. ∠C = 57°