Draw a circle and a triangle with one vertex at the centre of the circle and the other two on the circle draw and other triangle of the same area with all three vertices on the circle
Answers
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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