Question

hyootense of right triangle is 4m less than twice the shorter side and 3side is 4m more than. shorter side find the side of rruangle

Answer 1

let ABC is a right angle triangle, right angled at B
here
BC is the shorter side
let BC be x m then AB equal to (x+4) m and AC will be hypotanuse of a right angle triangle which is (2x-4) m
according to question
by using Pythagoras theorem
${ab}^{2} + {bc}^{2} = {ac}^{2}$
$( {x + 4)}^{2} + {x}^{2} = {(2x - 4)}^{2}$
after solving we get X equals to 12
Therefore,
BC equals to 12 metre
AB equals to 16 m
and AC equals to 20 m