SOLUTION: In a right angled triangle ABC, length of the hypotenuese AC= 10cm. Seg BD perpendicular to seg AC. l(BD) = 4.8cm. Find l(AB)

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Question 891794: In a right angled triangle ABC, length of the hypotenuese AC= 10cm. Seg BD perpendicular to seg AC. l(BD) = 4.8cm. Find l(AB)
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
(wondering how segment BD got in there when the triangle is ABC)
.
a%5E2+b%5E2=c%5E2
You're given C as 10 cm
You're given one leg as 4.8cm
You're asked to find the other. Let's plug in the known values.
a%5E2+4.8^2 = 10^2
a%5E2+ 23.04 = 100
Subtract 23.04 from each side
a%5E2 = 76.96
Take the square root of each side
a = 8.77 cm (rounded)