in triangle pqr is an equilateral triangkepoint s is on seg qr such that qs=1/3qr prove that 9ps2=7pq2
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1) Let the side of an equilateral triangle be '2a' units .
Then ,
Height of an equilateral triangle is given by :
2) Draw PT is perpendicular to QR .
=> QT=TR= 'a' units
Since, we have
=>ST = a/3 units .
3) In right ΔPST ,
By Pythagoras Theorem ,
Hence Proved :
1) Let the side of an equilateral triangle be '2a' units .
Then ,
Height of an equilateral triangle is given by :
2) Draw PT is perpendicular to QR .
=> QT=TR= 'a' units
Since, we have
=>ST = a/3 units .
3) In right ΔPST ,
By Pythagoras Theorem ,
Hence Proved :
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