Question

Construct a triangle using the given data: Perimeter of triangle is 9 cm, and the base angles are 60° and 45°

Answer 1

Perimeter of triangle is 9 cm, and the base angles are 60° and 45°

Steps of construction:
1. Draw DE = 9 cm.
2. Draw DP and EQ such that ∠PDE = 45° and ∠QED = 60°.
3. Draw AD and AE, the bisectors of angles PDE and QED respectively, intersecting each other at A.
4. Draw perpendicular bisectors of AD and AE, intersecting DE at points B and C respectively.
5. Join AB and AC.
Thus, ABC is the required triangle.