The base of a triangle exceeds the height by 6 cm if the area is 260 cm² find the length of the base and the height of the triangle?

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22-09-2018
Mathematics

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The base of a triangle exceeds the height by 6 cm if the area is 260 cm² find the length of the base and the height of the triangle?

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Kamikazeminem Kamikazeminem · Answer 1 · 2018-09-22T18:21:29+02:00

Kamikazeminem Kamikazeminem

22-09-2018

[tex]Let \: the \: base \: be \: x, \: the \: height \: would \: be: \:x-6\\The \: area \: is: \: [/tex]

[tex] \frac{x(x - 6)}{2} = 260 \\ {x}^{2} - 6x = 520 \\ {x}^{2} - 6x - 520 = 0 \\ (x + 20)(x - 26) = 0 \\x = 26[/tex]

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