In a 45, 45, 90 triangle, What is the length of side BC if AC is times the square root of 2?

Question

In a 45, 45, 90 triangle, What is the length of side BC if AC is  times the square root of 2?

anonymous · Answer

A = 45, B= 90 and C = 45.

johnweldon1993 · Answer

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I believe a number was omitted from your question?

is " times the square root of 2"

anonymous · Answer

Yes 5 multiplied by the square root of 2 is the given length of AC

johnweldon1993 · Answer

Ahh, so we have

|dw:1404316727893:dw|

anonymous · Answer

Yes that's it!

johnweldon1993 · Answer

For a 45 45 90 triangle, we have a side ratio of

|dw:1404316749965:dw|

johnweldon1993 · Answer

Meaning 2 legs are of the same length, and the third is that length times the √2

So it looks as though for your triangle...since the 'x' being multiplied by √2 is 5....the other 2 legs of the triangle are 5

anonymous · Answer

Okay, so the answer is X = 5 then?

johnweldon1993 · Answer

Correct

anonymous · Answer

Thank you for being very helpful. You've helped a lot on my questions today!

johnweldon1993 · Answer

No problem man!