devarshi-dt-logo

Question:

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are 7/5 of the corresponding sides of the first triangle.

Solution:

Constructing the first triangle:Step 1: Draw baseABof length7 cmStep 2: Place a compass onAand draw an arc of radius5 cmStep 3: Place the compass onBand draw an arc of radius6 cmsuch that it intersects the arc drawn in step2.Step 4: Mark the intersection of the two arcs asCand joinA−CandB−C△ABCis the given triangle.Let△PAQbe the required triangle.Step 1: Draw a rayAXfrom pointAon the opposite side ofC, making an acute angle withAB.Step 2: Mark7equidistant pointsA1,A2,A3,...,A7on rayAX.Step 3: JoinA5toB.Step 4: DrawA7Qparallel toA5Band mark the point on the extension of lineABasQ.Step 5: DrawPQparallel toBCand mark the intersection point on the extension ofACasP.△PAQis the required triangle.