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nata0808 [166]
3 years ago
12

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

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

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

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