​Draw an ∠BAC of measure 50 degree such that AB = 5 cm and AC = 7 cm. Through C draw a line parallel to AB and through B draw a line parallel to AC, intersecting each other at D. Measure BD and CD

​CONSTRUCTING A TRIANGLE WHEN THE LENGTHS OF ITS THREE SIDES ARE KNOWN (SSS CRITERION) 

​Construct a triangle ABC, given that AB = 5 cm, BC = 6 cm and AC = 7 cm.

Step 1 First, we draw a rough sketch with given measure.

Step 2 Draw a line segment BC of length 6 cm.

Step 3 From B, point A is at a distance of 5 cm. So, with B as centre, draw an arc of radius 5 cm 

​Step 4 From C, point A is at a distance of 7 cm. So, with C as centre, draw an arc of radius 7 cm

Step 5 A has to be on both the arcs drawn. So, it is the point of intersection of arcs. Mark the point of intersection of arcs as A. Join

​Construct ∆XYZ in which XY= 4.5 cm, YZ = 5 cm and ZX = 6 cm.

​CONSTRUCTING A TRIANGLE WHEN THE LENGTHS OF TWO SIDES AND THE MEASURE OF THE ANGLE BETWEEN THEM ARE KNOWN. (SAS CRITERION)

Construct a triangle PQR, given that PQ = 3 cm, QR = 5.5 cm and ∠PQR = 60°.

Step 1 First, we draw a rough sketch with given measures.