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Mathematics 22 Online
OpenStudy (vera_ewing):

What is the y-value of sin(x) when x = 30°?

OpenStudy (anonymous):

0.5

OpenStudy (vera_ewing):

Thank you :)

OpenStudy (anonymous):

no problem

OpenStudy (vera_ewing):

The length of the one side of a square is 24 cm. Find the length of the diagonal. @bigrob30117

OpenStudy (anonymous):

bigrob, don't just give the answer. You have to teach them how to do it.

OpenStudy (anonymous):

i am not a teacher i give answers im not good at explaining

OpenStudy (anonymous):

Then this is not the site for you. They won't get anywhere if you just give the answer.

OpenStudy (vera_ewing):

@bigrob30117 could you help me with that one? ^

OpenStudy (anonymous):

yes im figuring it out now

OpenStudy (vera_ewing):

yay thank you :)

OpenStudy (anonymous):

Is it a square?

OpenStudy (vera_ewing):

The length of the one side of a square is 24 cm. Find the length of the diagonal.

OpenStudy (anonymous):

square root of 24 try that

OpenStudy (vera_ewing):

what do you mean? 4.8?

OpenStudy (anonymous):

I got 33.94. Do you understand how I got that?

OpenStudy (vera_ewing):

No...

OpenStudy (anonymous):

Use the Pythagoras Theorem

OpenStudy (anonymous):

By Pythagoras theorem, Sqr X + Sqr X = Sqr D Therefore 2(SqrX) = Sqr D

OpenStudy (vera_ewing):

Ohhh ok I see. thank you :)

OpenStudy (anonymous):

Find the length of one side of the square. To calculate the diagonal of a square from the lengths of one of its sides, you'll need to start with this crucial piece of information. If you're calculating the diagonal of a square object in the real world, use a ruler or a piece of measuring tape to find the length of the side. If you're solving a math problem, the side length may be provided to you, or you may need to solve for it (see below). Note that, because a square's sides are equal in length by definition, knowing the length of any single side will suffice. If you are given the area of the square, take the square root to get the side length. If you're not provided with the length of one of the square's side but you do know its area, you can find the length of its sides by taking the square root of the area. This works because the area of a square is s2, the length of its sides squared. Note that, while area is expressed in square units (cm2, in2, etc.), length is expressed in linear units (cm, in, etc.). For instance, let's say that we are given a square with an area of 25 cm2. To find the lengths of its sides, we would take the square root of this area. √25 = 5 cm. Each side of the square is 5 cm long. If you are given the perimeter of the square, divide by 4 to get the side length. Similarly, it's possible to find the side length of a square if you are given its perimeter. The perimeter of a shape is the linear distance around it - in other words, the lengths of all its sides added up. Since a square has 4 sides of equal length by definition, its perimeter can be said to be 4s, or 4 times the length of its sides. Thus, dividing this value by 4 will give the length of the square's sides. For instance, if we know that our square has a perimeter of 20 cm, we can find the side length by dividing by 4. 20/4 = 5 cm. Each side of the square is 5 cm long. Multiply the side length by √2. Once you have the length of one of the square's sides, it's possible to find the length of the diagonal by multiplying the length of the side by the square root of 2. √2 is approximately 1.41421356. Congratulations - you've just found the length of your square's diagonal! Let's complete our example problem. We now know the length of of square's sides is 5 cm, so let's multiply 5 by √2 to find the length of the diagonal. 5 × √2 = 7.07 cm. Don't forget to label your answer with the same units as the side length is expressed in. This method works because of the Pythagorean Theorem, which relates the length of the hypotenuse of a right triangle to the lengths of its sides. For a more thorough explanation, see the section below.

OpenStudy (anonymous):

Welcome!

OpenStudy (vera_ewing):

thank you @bigrob30117 That website is very helpful :)

OpenStudy (anonymous):

no problem

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