please can someone answer this
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Step-by-step explanation:
pathyagoros theorem
Show that :
AD2 = AB2 - BD2 ( | )
∆ACD,
AC2 = AD2 + DC2
AD2 = AC2 - DC2 ( || )
AB2 - BD2 = AC2 - DC2 from (|) and (||)
AB2 + DC2 = AC2 + BD2
prove this AB2 + CD2 = AC2 - BD2 by pathyagoros theorem.
thanku please mark as brainlist
Answered by
1
Answer:
Step-by-step explanation:
In ΔABD, AB² = AD² + BD² ... ∵ Pythagorean Theorem ( spelling error )
∴ AD² = AB² - BD² ... ( I )
In ΔACD, AC² = AD² + DC² ... ∵ Pythagorean Theorem
∴ -AD² = AC² - AC² ... ( II )
∴ AB² - BD² = AC² - CD² ... from ( I ) and ( II )
∴ AB² + CD² = AC² + BD² Q.E.D
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