Geometry
Triangles
Triangle ABC has sides AB = 8.7 cm, AC = 7 cm, and BC = 6 cm. Draw the triangle and name its type.
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Triangle ABC has sides AB = 8.7 cm, AC = 7 cm, and BC = 6 cm. Draw the triangle and name its type.
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Unfortunately, I cannot physically draw the triangle for you. However, I can guide you on how to do it and identify its type.
Steps to Draw Triangle ABC:
- Draw the Base: Use a ruler to draw a line segment BC that is 6 cm long.
- Set Compass to AC Length: Open your compass to a width of 7 cm (the length of side AC). Place the compass point on point C and draw an arc above the line segment BC.
- Set Compass to AB Length: Open your compass to a width of 8.7 cm (the length of side AB). Place the compass point on point B and draw another arc above the line segment BC. This arc should intersect the arc you drew in step 2.
- Locate Point A: The point where the two arcs intersect is point A.
- Draw the Sides: Use a ruler to draw a straight line from point A to point B, and another straight line from point A to point C.
Type of Triangle:
To determine the type of triangle, we can look at the side lengths. Since all three sides (8.7 cm, 7 cm, and 6 cm) have different lengths, the triangle is a scalene triangle.