Question

Pythagorean Triad. Numbers are 43 and 38, what is the last number?

Answer 1

We are given

isosceles triangle

and when we draw perpendicular on third sides , it will divide third sides into two equal parts

so,

opposite =38

adjacent =x/2

hypotenuse =43

now, we can use Pythagoras theorem

`38^2+((x)/(2))^2=43^2`

now, we can solve for x

`\left((x)/(2)\right)^2=405`

`x=18√(5)`............Answer