Geometryhard · Past Paper
If a triangle has sides x, x+1, x+2 and is right-angled, what is x?
A1
B2
C3
D4
✓ Correct Answer: C — 3
x^2 + (x+1)^2 = (x+2)^2 => x^2 + x^2+2x+1 = x^2+4x+4 => x^2-2x-3=0 => (x-3)(x+1)=0. x=3. Sides are 3, 4, 5.
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