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Use the formula above to find a when b = 4, c = 5.
- A 2
- B 1
- C 4
- D 6
- E 3
That's Correct!
It's Wrong!
To find the value of ( a ) using the Pythagorean theorem when ( b = 4 ) and ( c = 5 ), the formula used is:
[ a^2 + b^2 = c^2 ]
Given ( b = 4 ) and ( c = 5 ), substitute these values into the formula:
[ a^2 + 4^2 = 5^2 ]
[ a^2 + 16 = 25 ]
Now, solve for ( a^2 ):
[ a^2 = 25 - 16 ]
[ a^2 = 9 ]
Taking the square root of both sides gives:
[ a = √{9} ]
[ a = 3 ]
Thus, when ( b = 4 ) and ( c = 5 ), the value of ( a ) is ( 3 ).
