Construct a triangle abc with |ab| = 9 cm, |ac| = 8 cm and |bc| = 7 cm - Junior Cycle Mathematics - Question 4 (a) - 2009
Question 4 (a)
Construct a triangle abc with |ab| = 9 cm, |ac| = 8 cm and |bc| = 7 cm.
Label your diagram clearly.
Worked Solution & Example Answer:Construct a triangle abc with |ab| = 9 cm, |ac| = 8 cm and |bc| = 7 cm - Junior Cycle Mathematics - Question 4 (a) - 2009
Step 1
Step 1: Draw Base |ab|
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Answer
Using a ruler, draw a line segment |ab| that measures 9 cm on your paper. Label the endpoints as 'a' and 'b'.
Step 2
Step 2: Construct Circle for Point C
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Answer
With point 'a' as the center, use a compass to draw a circle with a radius of 8 cm (for |ac|).
Step 3
Step 3: Construct Circle for Point C
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Answer
With point 'b' as the center, use the same compass to draw another circle with a radius of 7 cm (for |bc|).
Step 4
Step 4: Find Intersection Point
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Answer
Label the point where the two circles intersect as 'c'.
Step 5
Step 5: Draw Sides |ac| and |bc|
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Answer
Draw line segments |ac| and |bc| to connect point 'c' to points 'a' and 'b' respectively.
Step 6
Step 6: Label the Diagram
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Answer
Ensure that all points (a, b, c) and the lengths of sides (|ab|, |ac|, |bc|) are clearly labeled in your diagram.
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