Answer :
Answer:
To construct a triangle with angles 67° and 54° and a side length of 6 cm, follow these steps:
Using a ruler, draw a horizontal line segment of length 6 cm. This will be the base of the triangle.
Using a pair of compasses, set the distance to 3 cm (half the length of the base). Place the point of the compasses on one end of the base line, and draw an arc above the line.
Repeat step 2 on the other end of the base line. The two arcs should intersect at a point above the base line.
Using a protractor, measure the angle between the base line and one of the arcs. It should be 67°.
Using a pencil, draw a line segment connecting the intersection of the arcs to one end of the base line. This line segment will be one of the sides of the triangle.
Measure the length of this line segment using a ruler. This will be the length of the side adjacent to the 67° angle.
The resulting triangle should have angles of 67°, 54°, and 109° (the sum of the angles in any triangle is 180°). The length of the side adjacent to the 67° angle can be measured using a ruler.
