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CAN SOMEONE PLEASE HELP ME WITH MY MATH ASAP PLEASE!!!​

CAN SOMEONE PLEASE HELP ME WITH MY MATH ASAP PLEASE!!!​-example-1

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7 votes

Answer:

The answer is :
y =√(190)

so, type 190 in the box

Explanation:

Notice that there are three right angle triangles in the image given. In order to create equations associated with the Pythagorean Theorem for the three triangles, we add the letters x and z to identify two sides that are missing information. Please see attached image for reference.

In the small right angle triangle on the right, the Pythagorean theorem tells us:


x^2+10^2=y^2\\so\\x^2=y^2-100

In the larger triangle :


y^2+z^2=19^2\\z^2=361-y^2

In the small triangle on the left:


9^2+x^2=z^2

and in this last equation we can substitute the z-squared and the x-squared by the expressions we got before in the other two equations:


9^2+(y^2-100)=(361-y^2)\\81+y^2-100= 361-y^2\\2\,y^2=361+100-81\\2\,y^2=380\\y^2=190\\

Then to solve for "y" we apply the square root:


y =√(190)

CAN SOMEONE PLEASE HELP ME WITH MY MATH ASAP PLEASE!!!​-example-1
User Amchacon
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