Construct an equilateral triangle of perimeter 19.5 centimeter.Measure and verify that each angle measures 60 digrees
construct a segment of length 19.5
At each end, draw a circle of the same radius.
Where the circles intersect above (or below) the line will be the third vertex of the triangle, since all three sides are the same.
Get out your protractor and measure the angles.
To answer
To construct an equilateral triangle with a perimeter of 19.5 centimeters, we need to follow these steps:
Step 1: Find the length of each side of the equilateral triangle.
Since the perimeter of the triangle is 19.5 centimeters, we divide it by 3 (since an equilateral triangle has three equal sides) to find the length of each side.
Side length = Perimeter / 3 = 19.5 cm / 3 ≈ 6.5 cm.
Step 2: Construct the equilateral triangle.
Start by drawing a straight line segment of length 6.5 cm. This line will be one side of the equilateral triangle.
Next, use a compass to draw a circle centered at one end of the line segment with a radius of 6.5 cm.
Then, draw another circle centered at the other end of the line segment, intersecting the first circle.
Finally, connect the two intersection points of the circles with the initial line segment to form an equilateral triangle.
Step 3: Measure the angles.
To verify that each angle of the equilateral triangle measures 60 degrees, use a protractor to measure the angles at each vertex of the triangle. Each angle should measure 60 degrees.
Note: It's important to use a straightedge to ensure the sides of the triangle are straight and a protractor with accurate measurements for precise angle measurement.