Question

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?

Answer 1

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


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