Maths · Distance formula, sections formula, locus and its equation
The perimeter of a triangle formed by points ,(\mathbf{6}, \mathbf{0}),(\mathbf{
The perimeter of a triangle formed by points \( (\mathbf{0}, \mathbf{0}),(\mathbf{6}, \mathbf{0}),(\mathbf{0}, \mathbf{6}) \) is
- A. \( 6(2+\sqrt{2}) \) units
- B. \( 2+\sqrt{2} \) units
- C. \( 6 \sqrt{2} \) units
- D. None of the above
Step-by-step solution
The triangle has vertices at (0,0), (6,0), and (0,6). Side lengths: between (0,0) and (6,0) is 6, between (0,0) and (0,6) is 6, and between (6,0) and (0,6) is √((6-0)^2+(0-6)^2)=√72=6√2. Perimeter = 6+6+6√2 = 12+6√2 = 6(2+√2).
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