Question

Construct the quadrilateral with the measurements given below:
(a) Quadrilateral GOLD: OL = 7.5 cm, GL = 6 cm, LD=5 cm. DG=5.5 cm and
OD = 10 cm​

Answer 1

Given: OL = 7.5 cm , GL = 6 cm , LD = 5 cm , DG = 5.5 cm and OD = 10 cm
To construct a Quadrilateral GOLD
By constructing a rough figure and marking given detail,
we find we are given 3 sides of quadrilateral i.e., GO , GD , DL and both diagonals .i.e., GL & OD . Also all sides of 2 triangles with common base GD i.e., Δ GOD & ΔGLD
Step-by-step Construction:
Step 1: Draw a line segment GD of length 5.5 cm
Step 2: With G as center, draw an arc of radius 7.5 cm above Point G
Step 3: With D as center, draw an arc of radius 10 cm such that it intersect arc of step 2. Point of intersect of both arc is O.
Step 4: Join GO.
Step 5: With G as center, draw an arc of radius 6 cm above Point L
Step 6: With D as center, draw an arc of radius 5 cm such that it intersect arc of step 5. Point of intersect of both arc is Point L
Step 7: Join DL.
Step 8: Now, Join OL, we get the Required Quadrilateral GOLD.