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Construct a triangle abc with |ab| = 9 cm, |ac| = 8 cm and |bc| = 7 cm - Junior Cycle Mathematics - Question 4 (a) - 2009

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Question 4 (a)

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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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