a school wants to build a rectangular playground that will have a diagonal length of 75 yards. how wide can the playground be if the length has to be 30 yards?

Question

anonymous · Answer

Isn't it 75-30??

anonymous · Answer

no it uses the pythagorean theorem.

jdoe0001 · Answer

|dw:1459466289356:dw|  $\Large c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b$

anonymous · Answer

yes that how it is.

anonymous · Answer

i got the answer of 68.7 but after i rounded to nearest tenth.@jdoe0001  
is it right?

divinesolar · Answer

Book 15 show me what you plugged in and I will solve for you as well to see if your answer is correct. as in the full equation sqrt72?^2

anonymous · Answer

okay so 75 is the diagonal length. and the measure of one of the legs is 30. so i used the a^2 + B^ = c^2    so 30^ + b^2 = 70^  , 900+ B^2= 5,625  so i subtract 5625-900= 4725. then i square 4,725 which equals 68.7 rounded to nearest tenth.

anonymous · Answer

so thats what i did to do it. @DivineSolar

divinesolar · Answer

68.7 when you square 4.725 is correct.

divinesolar · Answer

Also you meant 30^2? Right?

anonymous · Answer

yes

divinesolar · Answer

mkay one moment.

divinesolar · Answer

Your answer is wrong.

divinesolar · Answer

Lets try this again okay step by step?

anonymous · Answer

yes

divinesolar · Answer

Hold on. I may have made an error? redoing the equation.

anonymous · Answer

oops did u count the 75 as a hypotenuse. because the first time i type the equation i did it fast.

divinesolar · Answer

Okay I will give you all the breathtaking steps.

divinesolar · Answer

I love my application, here is a screenshot.

divinesolar · Answer

https://gyazo.com/a845675dafceabc3153d93836442b1af

divinesolar · Answer

This is based off your equation.

anonymous · Answer

u mean 30^2+b^2=75^2

divinesolar · Answer

Scroll back up. To look and see the equation is c^2 = a^2 + b^2

anonymous · Answer

yeah it right but i looked at my paper and the hypotenuse is actually 75.

divinesolar · Answer

With your equation we do get the final answer.

divinesolar · Answer

as 68.7 since we get $$b = -15 \sqrt{21}$$

divinesolar · Answer

However with c^2 = a^2 + b^2 we get $$b = -20 \sqrt{10}$$

divinesolar · Answer

And with that we get the decimal b=−63.245553

anonymous · Answer

so was i wrong?

divinesolar · Answer

Do you have any answer choices by any chance?

divinesolar · Answer

Or is this specifically a word problem?

anonymous · Answer

no u just have to solve it.

divinesolar · Answer

Okay in your class do we use your formula or my formula, if its yours then yes your final answer is correct, if it is my formula then my answer is the correct one ^_^