2. State any two Euclid's axioms.3/ In the given figure, AP LI, PR > P

1.	2. State any two Euclid's axioms.3/ In the given figure, AP LI, PR > PQ and PS = QPProve that AR AQ.S R
Answer» Given: PR > PQ Apply Pythagoras theorem in triangle APQ, AP² = AQ² - PQ² ... (1) Apply Pythagoras theorem in triangle APR, AP² = AR² - PR² ... (2) From equation (1) and (2), AR² - PR² = AQ² - PQ² Given PR > PQ, So, AR² - PQ² > AQ² - PQ² AR² > AQ² AR > AQ Hence Proved

2. State any two Euclid's axioms.3/ In the given figure, AP LI, PR > PQ and PS = QPProve that AR AQ.S R

Answer»

Given: PR > PQ

Apply Pythagoras theorem in triangle APQ,

AP² = AQ² - PQ² ... (1)

Apply Pythagoras theorem in triangle APR,

AP² = AR² - PR² ... (2)

From equation (1) and (2),

AR² - PR² = AQ² - PQ²

Given PR > PQ, So,

AR² - PQ² > AQ² - PQ²

AR² > AQ²

AR > AQ

Hence Proved