Question

Construct a triangle ABC whose perimeter
12.5 cm and whole base angles
60°and 75°
​

Answer 1

Step-by-step explanation:

Steps of construction

1. Draw a line segment and locate points P,Q such that PQ=12.5cm.

2. Construct rays PR such that ∠QPR=60∘ and QS such that ∠PQS=75∘.

3. Draw the bisectors PL and QM of ∠QPR and ∠PQS respectively. Let these intersect at A.

4. Draw the perpendicular bisector of AP and AQ and let these intersect PQ at B and C respectively.

5. Join AB and AC.

Then ABC is the required triangle.