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Question
Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?
Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?
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Solution
The correct option is A
The correct procedure to construct the given triangle is:
1. Draw the base BC of Δ ABC as given and construct ∠ XBC of the required measure at B as shown.
2. Keeping the compass at point B cut an arc from the ray BX such that its length equals to AB + AC at point P and join it to C as shown.
3. Now measure ∠BPC and from C draw an angle equal to ∠BPC as shown.
The correct procedure to construct the given triangle is:
1. Draw the base BC of Δ ABC as given and construct ∠ XBC of the required measure at B as shown.
2. Keeping the compass at point B cut an arc from the ray BX such that its length equals to AB + AC at point P and join it to C as shown.
3. Now measure ∠BPC and from C draw an angle equal to ∠BPC as shown.
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