Answer:
The construction is shown below.
Step-by-step explanation:
Given:
A triangle RBI with [tex]\angle IRB=60\°,\angle RBI=90\°,BI=5.7\ cm[/tex]
Since triangle RBI is a right angled triangle, the measure of angle RIB is given as:
∠RIB = 90° - 60° = 30°
Construction:
Step 1:
Draw a vertical line segment using a meter scale of length 5.7 cm. Label the top end point as 'I' and bottom point as 'B'.
Step 2:
Now, using a protractor construct an angle of 90° from point B with the line IB. Draw a line passing through the 90 degree mark and point 'B'.
Step 3:
Using the protractor, mark angle 30° from point 'I' with the line IB. Draw a line passing through the 30 degree mark till it intersects the line obtained in step 2.
Label the point of intersection of the lines from step 2 and step 3 as 'R'.
Thus, the resulting triangle obtained is ΔRBI.
