About Lesson
Construction of a Triangle (Perimeters and Ratios Given)
Construct a triangle with a perimeter and the ratio of their angles is
Solution:
Let the angles of the given triangle be and
Then,
, and
Steps of construction
Let and
Perimetercm and base angles are and
- Draw a line segment cm
- Construct ad
- Draw the bisectors of and to meet at
- Draw the perpendicular bisectors of and to meet at and respectively.
- Join and
Result:
is the required triangle.