construct an equilateral triangle of perimeter is 19.5cm. Measure and Verify that each angles measures 60 degree
To construct an equilateral triangle with a perimeter of 19.5 cm, we can follow these steps:
1. Divide the given perimeter (19.5 cm) by 3 to find the length of each side: 19.5 cm / 3 = 6.5 cm.
So, each side of the equilateral triangle will measure 6.5 cm.
2. Start by drawing a straight line segment of 6.5 cm. This will be one side of the equilateral triangle.
3. Using a compass, draw an arc with a radius of 6.5 cm from one endpoint of the line segment.
4. Without changing the compass width, draw a similar arc from the other endpoint of the line segment.
5. Where the two arcs intersect, mark the point as a third vertex of the equilateral triangle.
6. Draw the remaining sides of the triangle by connecting the newly marked vertex to the two original endpoints.
To verify that each angle measures 60 degrees, we can use the fact that the sum of the angles in any triangle is 180 degrees.
7. Measure one angle of the constructed equilateral triangle using a protractor.
8. Repeat the measurement for the remaining two angles.
If each angle measures 60 degrees, then the construction is correct.
To construct an equilateral triangle, you can follow these steps:
1. Start by drawing a line segment of length 19.5 cm. This will be one side of the equilateral triangle.
2. Use a compass to draw arcs of radius 19.5 cm with the endpoints of the line segment as the centers. These arcs will intersect at two points.
3. Draw two line segments connecting each endpoint of the original line segment to the two points of intersection of the arcs. These line segments will form the other two sides of the equilateral triangle.
4. Measure the three sides of the constructed triangle using a ruler to verify that each side measures 19.5 cm.
5. To measure the angles, you will need a protractor. Place the protractor on one vertex of the triangle, aligning one side of the protractor with one side of the triangle. Then, measure the angle formed between the two sides. Repeat this step for the other two vertices of the triangle.
If each side of the triangle measures 19.5 cm and each angle measures 60 degrees, then you have successfully constructed an equilateral triangle.