Question

Construct a right triangle ABC such that BC=4cm and the hypotenus makes an angle of 30' at b. Verify that ab =2ac.

Answer 1

Steps of construction are:-
STEP 1:-Draw a line BC (taking BC as vase of the triangle) with the help of a scale measuring 4cm(Take C on the left side of the line and B on the right side i.e CB Instead of BC).
STEP 2:- make an angle of 30 degree(make an angle of 60degree by placing the compass tip on the point where the line touches the arc that you’ve made for making the angle. Then draw a dotted line for 60degree angle. Now, keep the compass tip at the same point where you kept the compass before to make an angle of 60degree i.e, the point where the line touches the arc that you’ve made for making the angle and mark an arc in between the line BC and 60degree angle dotted line. Now keep the compass at the 60degree angle dotted line and mark an arc that intersects the arc drawn before. This is your 30degree angle).