Question

The altitude of a right angle triangle is 7 cm less than the base x and the hypotrnuse is 13 cm. then find the quadratic representation of this situation

Answer 1

2x^2 -14x + 49 = 289

Answer 2

Base = x
So, altitude = x-7
Hypotenuse = 13cm
So, using Pythagoras theorem
${x}^{2} + {(x - 7)}^{2} = {17}^{2} \\ {x}^{2} + {x}^{2} + 49 - 14x = 289 \\ 2 {x}^{2} - 14x + 49 = 289$