0.75 is also squared along with "w".

So, w^2 + (0.75w)^2= 39^2

w^2 + 0.5625w^2 = 1521

Hope that is helpful for you to understand this problem better. :)

Natasha D.

asked • 09/23/19Thank you to the experts who helped me! I’ll leave this question up in case another student has a similar problem, but it is solved

I’ve seen the solution to this problem, but am confused as to why a certain step is taken when solving via Pythagorean’s theorem.

w^2+**0.75w^2**=1521 becomes

w^2+**0.5625w^2**=1521

Why/How does 0.75w^2 become 0.5625w^2 in solving this problem?

The answer I need to get is w=31.248039, which I think I’d be able to get myself once I understand the question above :)

Thanks in advance.

More

0.75 is also squared along with "w".

So, w^2 + (0.75w)^2= 39^2

w^2 + 0.5625w^2 = 1521

Hope that is helpful for you to understand this problem better. :)

h=.75w

a^2+b^s=c^2 (rt triangles)

In this case

w^2+(.75w)^2=39^2

" " "=1521

w=31.2

h=23.4

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Natasha D.

Thank you so much! It was eating at me. Such a simple answer, it’s definitely not a mistake I’ll make again haha. Have a great week!09/23/19