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Right triangle: Find AB if BC=3, BD=5, and AD=7

Right triangle: Find AB if BC=3, BD=5, and AD=7
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3 votes
Right triangle: Find AB if BC=3, BD=5, and AD=7

Right triangle: Find AB if BC=3, BD=5, and AD=7-example-1
User Neile
by
8.2k points

2 Answers

4 votes
DC² = 5² - 3² By Pythagoras' Theorem

DC² = 25 -9 =16

DC = √16 = 4

AC = AD + DC = AD + CD = 7 + 4 = 11

AB² = BC² + AC²

AB² = 3² + 11² = 9 + 121 = 130

AB² = 130

AB = √130

AB ≈ 11.402
User ElPastor
by
8.6k points
6 votes
Roughly 11. :') Tell me if you need me to explain how I got that number, I'll gladly elaborate. 
User Ingry
by
8.2k points
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