Friday, 20 April 2018
HOTS
If ABC is a triangle, P, Q & R are midpoints of sides AB, AC and BC respectively. If AS is perpendicular to BC then prove that PQRS is a cyclic quadrilateral.
Hint:
The proof is based on:
1) midpoint theorem
2) In right angled triangle, median on hypotenuse is half the hypotenuse.
3) Two triangles with common base and equal opposite angles form cyclic quadrilateral.
The proof is based on:
1) midpoint theorem
2) In right angled triangle, median on hypotenuse is half the hypotenuse.
3) Two triangles with common base and equal opposite angles form cyclic quadrilateral.
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