Question

Draw a circle and a triangle with one vertex at the centre of the circle
and the other two on the circle. Draw another triangle of the same area
with all three vertices on the circle.
TT
1:
onda
LA​

Answer 1

Given : a triangle inside circle with one vertex at center and two on circle

To find : Draw another triangle of Equal area with all vertex on circle

Solution:

Step 1 : Mark a point O

Step 2 : Take appropriate radius and open compass width and  draw  a circle taking center O

Step 3 : Take two points on circle A & B

Step 4 : Join OA , OB  & AB

Triangle AOB is constructed

to Draw another triangle of the same area with all three vertices on the circle

Step 5 : Draw a Diameter parallel to AB meeting  Circle at C & D

Now triangle ABC  & Δ ABD both will have same area as ΔOAB

as both triangle are on same base AB  & between two parallel lines

To get Δ ABC  join AC & BC

To get Δ ABD  join AD & BD

Area of Δ ABC = Area of Δ ABD = Area of Δ ABO

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