Construct a given triangle AB=70mm,BC=80mm,AC=50mm.give the name of the triangle
scalene triangle
To construct a triangle with side lengths AB = 70mm, BC = 80mm, and AC = 50mm, follow these steps:
1. Start by drawing a straight line segment AB of length 70mm.
2. From point A, use a compass to draw an arc with a radius of 80mm. This arc should intersect with line segment AB at point C.
3. From point B, use a compass to draw an arc with a radius of 50mm. This arc should intersect with the arc drawn in step 2 at point C. The intersection point should be the third vertex of the triangle.
4. Connect points A and C with a straight line segment.
5. Connect points B and C with a straight line segment.
The resulting triangle, with side lengths 70mm, 80mm, and 50mm, is called a scalene triangle.
To name the triangle, we generally use capital letters to represent the vertices of the triangle. In this case, the given triangle has sides AB = 70mm, BC = 80mm, and AC = 50mm.
To name the triangle, let's take a look at the given sides:
- Side AB = 70mm: This side is opposite vertex C.
- Side BC = 80mm: This side is opposite vertex A.
- Side AC = 50mm: This side is opposite vertex B.
By convention, the vertices are named alphabetically from left to right. So, using the given sides, we can name the triangle as triangle ABC.
Therefore, the name of the given triangle is Triangle ABC.