13.In 4ABC, D is the foot of the altitude from A on segment BC. If
AD = 24, AC = 30 and BC = 28. Find AB.
Answers
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Answer:
ab=26
Step-by-step explanation:
In △ADC, by Pyathagoras theorem
DC2 = AC2 − AD2 = 302 − 242 = 900 − 576 = 324 = 182
.
AD 4
∴ BD = BC − DC = 10.
In △ADB, we get by Pyathagoras theorem
AB2 = AD2 + DB2 = 242 + 102 = 676 = 262 ∴ AB = 26
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