Which of the following sets of numbers could not represent the three sides of a right triangle?
1 answer:
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Answer:
C
Step-by-step explanation:
Given
A =
Substitute the given values with h = a, then
16.5 = ( multiply both sides by 2 )
33 = a(a + 8) ← distribute
33 = a² + 8a ( subtract 33 from both sides )
0 = a² + 8a - 33 ← in standard form
0 = (a + 11)(a - 3) ← in factored form
Equate each factor to zero and solve for a
a + 11 = 0 ⇒ a = - 11
a - 3 = 0 ⇒ a = 3
However, a > 0 thus a = 3
Hence the height is 3 feet