Amy is a scout. The scoutmaster has made an equilateral triangle with pegs and a rope as shown in the diagram. Amy measures one side of the triangle. It is 6 m in length. (a) Find the perimeter of the triangle. (b) Construct an accurate scale diagram of the equilateral triangle in the space below. Use a scale of 1 cm to represent 1 m.

Junior Cycle Mathematics Constructions: Amy is a scout. The scoutmaster

Amy is a scout - Junior Cycle Mathematics - Question 4 - 2013

Question 4

Amy is a scout. The scoutmaster has made an equilateral triangle with pegs and a rope as shown in the diagram. Amy measures one side of the triangle. It is 6 m in le... show full transcript

Worked Solution & Example Answer:Amy is a scout - Junior Cycle Mathematics - Question 4 - 2013

Step 1

Find the perimeter of the triangle.

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Answer

To find the perimeter of an equilateral triangle, we can use the formula:

$P = a + a + a$

where ( a ) is the length of one side of the triangle. Given that each side is 6 m long:

Substitute ( a = 6 ) m into the formula: $P = 6 + 6 + 6$
Calculate the perimeter: $P = 18 \text{ m}$ .

Step 2

Construct an accurate scale diagram of the equilateral triangle in the space below.

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Answer

To construct an accurate scale diagram, we first convert the side length of 6 m into centimeters using the provided scale of 1 cm = 1 m.

This means:

Each side will be represented as 6 cm on the diagram.

Draw a straight line segment of 6 cm for one side of the triangle.
Use a compass to arc from both endpoints of the segment, setting the radius to 6 cm, to find the position of the third vertex.
Complete the triangle by connecting the third vertex to the two endpoints, ensuring all sides are equal at 6 cm.

Amy is a scout - Junior Cycle Mathematics - Question 4 - 2013

Worked Solution & Example Answer:Amy is a scout - Junior Cycle Mathematics - Question 4 - 2013

Find the perimeter of the triangle.

Construct an accurate scale diagram of the equilateral triangle in the space below.

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