2 years ago

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 trian

gle?

1 answer:

N76 [4]2 years ago

7 0

$Let \: the \: base \: be \: x, \: the \: height \: would \: be: \:x-6\\The \: area \: is: \:$

$\frac{x(x - 6)}{2} = 260 \\ {x}^{2} - 6x = 520 \\ {x}^{2} - 6x - 520 = 0 \\ (x + 20)(x - 26) = 0 \\x = 26$

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