If A:B:C is 2:3:4 and A²+B²+C²=11600 then find (A-B+C)step by step

1.	If A:B:C is 2:3:4 and A²+B²+C²=11600 then find (A-B+C)step by step explanation
Answer» ong>Step-by-step EXPLANATION: LET ratios be Ax, Bx, and Cx. A:B:C = 2:3:4. Hence ratios become 2X, 3x, and 4x. Now, we know that - ${2x}^{2} + {3x}^{2} + {4x}^{2} \: = 11600 \\ {9x}^{2} = 11600 \\ {<klux>X</klux>}^{2} = \frac{11600}{9} \\ x = \sqrt{ \frac{11600}{9} } \\ x = \frac{20}{3 } \sqrt{29}$ Substitute value of x, and find values of A, B & C - A = $2x = 2( \frac{20}{3} \sqrt{29} ) = \frac{40}{3} \sqrt{29}$ B = $3x = 3( \frac{20}{3} \sqrt{29} ) = 20 \sqrt{29} = \frac{60}{3} \sqrt{29}$ C = $4x = 4( \frac{20}{3} \sqrt{29} ) = \frac{80}{3} \sqrt{29} )$ Hence, (A - B + C) $\frac{40}{3} \sqrt{29} - \frac{60}{3} \sqrt{29} + \frac{80}{3} \sqrt{29} = \frac{60}{3} \sqrt{29}$

If A:B:C is 2:3:4 and A²+B²+C²=11600 then find (A-B+C)step by step explanation

Answer»

ong>Step-by-step EXPLANATION:

LET ratios be Ax, Bx, and Cx.

A:B:C = 2:3:4.

Hence ratios become 2X, 3x, and 4x.

Now, we know that -

${2x}^{2} + {3x}^{2} + {4x}^{2} \: = 11600 \\ {9x}^{2} = 11600 \\ {<klux>X</klux>}^{2} = \frac{11600}{9} \\ x = \sqrt{ \frac{11600}{9} } \\ x = \frac{20}{3 } \sqrt{29}$