1 Draw an angle of measure 60 degree with ruler and compasses and bisect it 2 Evaluate using suitable - Maths - Practical Geometry

Question

1 Draw an angle of measure 60 degree with ruler and compasses and
bisect it
2 Evaluate using suitable properties:2348x76+24x2348

Brijendra Pal · Accepted Answer

Hi, 1;- Constructing a 60º Angle We know that the angles in an equilateral triangle are all 60º in size This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below Step 1: Draw the armPQ Step 2: Place the point of the compass at Pand draw an arc that passes throughQ Step 3: Place the point of the compass at Q and draw an arc that passes through P Let this arc cut the arc drawn in Step 2 at R

For bisecting it we have to Construct a 30º Angle We know that:

So, to construct an angle of 30º, first construct a 60º angle and then bisect it Often, we apply the following steps Step 1: Draw the armPQ Step 2: Place the point of the compass at P and draw an arc that passes throughQ Step 3: Place the point of the compass at Q and draw an arc that cuts the arc drawn in Step 2 atR Step 4: With the point of the compass still at Q, draw an arc near T as shown Step 5: With the point of the compass atR, draw an arc to cut the arc drawn in Step 4 atT Step 6: Join T to P The angle QPT is 30º

Please post single query in a thread

1.Draw an angle of measure 60 degree with ruler and compasses and bisect it. 2.Evaluate using suitable properties:2348x76+24x2348.

1.Draw an angle of measure 60 degree with ruler and compasses and bisect it.
2.Evaluate using suitable properties:2348x76+24x2348.