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Mathematics 6 Online
OpenStudy (anonymous):

Find the value of x.

OpenStudy (anonymous):

|dw:1416903866086:dw|

OpenStudy (anonymous):

@iambatman

OpenStudy (anonymous):

@vector_math

OpenStudy (fibonaccichick666):

is it a square?

OpenStudy (anonymous):

yes..doesnt it look like one?

OpenStudy (fibonaccichick666):

oh I so missed the congruent lines

OpenStudy (anonymous):

45*sqrt(2)=63.64

OpenStudy (anonymous):

this is all it gave me, but i think the sides are all equal

OpenStudy (fibonaccichick666):

so now, cool thing about the diagonal in a square, It is a bisector of the angles, so now, what type of triangle do you have?

OpenStudy (anonymous):

diagonal of a square with equal sides is a*sqrt(2). Since a=45 the answer is 45*sqrt(2)

OpenStudy (fibonaccichick666):

It's nice to not have to memorize the formula, if you stay with me for 1 more minute, we can get that formula

OpenStudy (anonymous):

oh so then it would be 63.64

OpenStudy (anonymous):

the little lines on the side of the square means that all the sides are equal

OpenStudy (anonymous):

yea i know that

OpenStudy (fibonaccichick666):

I would mark that wrong personally but you can say the answer is approximately 63.64

OpenStudy (anonymous):

why would it be wrong?

OpenStudy (fibonaccichick666):

because the square root of 2 is irrational and should be left as is for an exact answer

OpenStudy (fibonaccichick666):

also, they showed no work, so I wouldn't give credit there either

OpenStudy (anonymous):

ok so can you please explain and show ur work so i can understand

OpenStudy (fibonaccichick666):

ok, so what is the measure of the angles of a square?

OpenStudy (anonymous):

45

OpenStudy (fibonaccichick666):

a right angle is 45 degrees?

OpenStudy (anonymous):

oh no sorry right angle is 90 degrees

OpenStudy (fibonaccichick666):

cool, ok so the nice thing about a square is that there is a special property with it's diagonal, the diagonal bisects the angles.

OpenStudy (fibonaccichick666):

|dw:1416904584937:dw| Can you label what the bisected angle's measure is?

OpenStudy (fibonaccichick666):

that means, it splits it into two equal parts

OpenStudy (anonymous):

i know there equal but dont know the measure, shouldnt it be 45

OpenStudy (fibonaccichick666):

it is, because what is 90 divided by two?

OpenStudy (anonymous):

45

OpenStudy (fibonaccichick666):

|dw:1416904795915:dw|

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