Question

Write the process of Construction of a triangle when the base, one base angle and the sum of the other two sides of the triangle are given.

Answer 1

Construction of ΔPQR, QR = 'a' cm, ∠PQR = x°, and PQ + PR = 'b' cm. 

Step 1: Draw the base QR = 'a' cm. 

Step 2: Draw ∠XQR = x°. 

Step 3: Mark an arc S on QX such that QS = 'b' cm. 

Step 4: Join RS. 

Step 5: Draw the perpendicular bisector of RS such that it intersects QS at P. 

Step 6: Join PR. 

Thus, ΔPQR is the required triangle.