Pythagorean Triad. Numbers are 43 and 38, what is the last number?
1 answer:
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](https://tex.z-dn.net/?f=%2038%5E2%2B%28%5Cfrac%7Bx%7D%7B2%7D%29%5E2%3D43%5E2%20%20)
now, we can solve for x
![\left(\frac{x}{2}\right)^2=405](https://tex.z-dn.net/?f=%20%5Cleft%28%5Cfrac%7Bx%7D%7B2%7D%5Cright%29%5E2%3D405%20)
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