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Ide draws the sketch of the triangle shown - Junior Cycle Mathematics - Question 7 - 2015
Question 7
Ide draws the sketch of the triangle shown. The lengths of the sides are 4 cm, 6 cm, and 8 cm. (a) What type of triangle has Ide sketched? Put a tick (✓) in the cor... show full transcript
Worked Solution & Example Answer:Ide draws the sketch of the triangle shown - Junior Cycle Mathematics - Question 7 - 2015
Step 1
Step 2
Construct Ide's triangle in the box below.
Answer
To construct the triangle:
- Start by drawing a line segment of 8 cm on paper to represent the base.
- Use a compass to measure 6 cm. Place the compass point on one endpoint of the base and draw an arc above the line.
- Measure 4 cm with the compass. Place the compass point on the other endpoint of the base and draw another arc to intersect the previous arc.
- Label where the arcs intersect as point A.
- Connect point A to each endpoint of the base to form triangle ABC.
Step 3
Measure the biggest angle in your triangle from part (b).
Answer
After constructing the triangle, you would typically use a protractor to measure the angles. In this case, the biggest angle calculated either was approximately 104° or 105°. Therefore, you could write either value: Size of biggest angle = 104° or 105°.