Question

Consider this right triangle with given measures what is the unknown length

Answer 1

12^2 + b^2 = 15^2
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144 + b^2 = 225
-144 -144
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b^2 = 81
b^2 = (square root 81 and the b)

ANS : b=9

Answer 2

b = 9

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b =
`√(81)` = 9