Pythagorean theorem
Answer:
x = 3
x + 3 = 6
√45
Step-by-step explanation:
the general theorem is
a^2 + b^2 = c^2
Givens
a = x
b = x + 3
c = √45
Solution
x^2 + (x + 3)^2 = (√45)^2 Substitute
x^2 + x^2 + 6x + 9 = 45 Expand the brackets. Square √45
2x^2 + 6x + 9 = 45 Subtract 45 from both sides
2x^2 + 6x - 36 = 0 Divide by 2
x^2 + 3x - 18 = 0 Factor
(x + 6)(x - 3) = 0 x+ 6 has no meaning in the real world.
x - 3 = 0
x = 3
Answer
a) 3
b) 6
c) √45
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