Question

The hypotenuse of a right angled triangle is $6.5$ metres and the base is $6$ metres; the perpendicular length is equal to .......

Answer 1

${\left(AC\right)}^2={\left(AB\right)}^2+{\left(BC\right)}^2$
$\therefore {\left(6.5\right)}^2={\left(6\right)}^2+{\left(BC\right)}^2$
$\therefore {\left(BC\right)}^2={\left(6.5\right)}^2-{\left(6\right)}^2$
$=42.25-36=6.25$ sq.m
$\therefore$ Perpendicular $BC=2.5$