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

$38^2+(\frac{x}{2})^2=43^2$

now, we can solve for x

$\left(\frac{x}{2}\right)^2=405$

$x=18\sqrt{5}$............Answer