Construct ∆XYZ in which ∠Y = 30°, ∠Z = 60° and XY + YZ + ZX = 10 cm.

Question

Philoid · Accepted Answer

Given: ∠Y = 30°, ∠Z = 60° and perimeter of ΔXYZ = 10 cm

Steps of construction:

Step 1: Step 1: raw a line segment QR of 10.5cm.

Step 2: From point Q draw a ray QD at 30° and from R draw a ray RE at 60°.

Step 3: Draw an angle bisector of Q and R, two angle bisectors intersect each other at point X.

Step 4: Draw a line bisector of QX and XR respectively these two-line bisectors intersect at point Y and Z

Step 5: Join XY AND XZ.

Step 6: Δ XYZ is required triangle.