Construct the triangle ABC, where |AB| = 8 cm, |AC| = 5 cm, and |BC| = 7 cm. - Leaving Cert Mathematics - Question 4(a) - 2017
Question 4(a)
Construct the triangle ABC, where |AB| = 8 cm, |AC| = 5 cm, and |BC| = 7 cm.
Worked Solution & Example Answer:Construct the triangle ABC, where |AB| = 8 cm, |AC| = 5 cm, and |BC| = 7 cm. - Leaving Cert Mathematics - Question 4(a) - 2017
Step 1
Step 1: Draw Base |AB|
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Answer
Using a ruler, draw a line segment |AB| of length 8 cm. Label the endpoints A and B.
Step 2
Step 2: Draw Arc for AC
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Answer
Using a compass, set the width to 5 cm (the length of |AC|). Place the compass point at point A and draw an arc above line AB.
Step 3
Step 3: Draw Arc for BC
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Answer
With the compass still set at 7 cm (the length of |BC|), place the compass point at point B and draw another arc that intersects the first arc.
Step 4
Step 4: Mark Point C
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Answer
Label the intersection of the two arcs as point C.
Step 5
Step 5: Connect the Points
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Answer
Draw lines segments |AC| and |BC| to connect point C with points A and B, forming triangle ABC.
Step 6
Step 6: Verify Lengths
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Answer
Using the ruler, double-check that |AC| is 5 cm and |BC| is 7 cm to ensure the triangle is constructed correctly.
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