SCALENE TRIANGLE #scalene #triangle

Scalene triangle:

A triangle where all three sides are in different lengths and all three angles are different measures.

Properties of scalene triangle:

1.All 3 sides are different in length.

2.All 3 angles are different.

3.The sum of all three interior angles is 180 degrees.

4.There are no lines of symmetry.

Area of scalene triangle:

1.If height and base are given, then Area A=(1/2)xbxh

2.If the 3 sides are given , then Area A=√(s (s-a)(s-b)(s-c) where s=(a+b+c)/2,where a,b,c are given sides.

3.If two sides and angle is given, then Area A=(1/2)absinθ, where θ is the given angle and a,b are the sides.

Construction:

1.Draw a line segment for the longest sides of the triangle.

2.Use a protractor to measure the given angle at one side of the line.

3.Construct a ray that's close to the line.

4.Use a compass and ruler to measure another side of triangle.

5.Put the compass at one end of the line segment and cut the ray at another point.

6.Joint the other end of the line segment to the point where the ray was cut.

For example:

To construct a scalene triangle ABC with AB =3cm, AC =5cm is

1.Draw a bar of 5cm.

2.Use a compass to cut an arc from A with radius of 3 cm.

3.Use a compass to cut an arc from C with radius of 4 cm, intersecting the arc from A at B.

4.Join AB & AC.

devotion & mathematics