Junior Cycle Mathematics Geometry: An equilateral triangle XZY has

Question

An equilateral triangle XZY has sides of length 10 cm.

(a) Write down the size of each angle in the triangle.

(b) Work out the length of the perimeter of the triangle XZY. Give your answer in cm.

(c) Construct the triangle XZY in the space below. Show all of your construction lines clearly.

(d) Maria plays a game using the triangle XZY. She starts with a counter at the point X. She flips a coin and moves the counter around the triangle in the direction XZY, as shown in the diagram below, using the following rule:
- if she gets heads (H), she moves the counter along 1 side of the triangle (e.g. X to Y)
- if she gets tails (T), she moves the counter along 2 sides of the triangle (e.g. X to Z)

Maria's first 4 flips of the coin are H H H T. Fill in the table below to show which point the counter is at after each flip of the coin. Some are already done for you.

An equilateral triangle XZY has sides of length 10 cm - Junior Cycle Mathematics - Question 8 - 2021

Worked Solution & Example Answer:An equilateral triangle XZY has sides of length 10 cm - Junior Cycle Mathematics - Question 8 - 2021

Write down the size of each angle in the triangle.

Work out the length of the perimeter of the triangle XZY. Give your answer in cm.

Construct the triangle XZY in the space below. Show all of your construction lines clearly.

Fill in the table below to show which point the counter is at after each flip of the coin.

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