Youtor
Find the Diagonal of a Square from Area Geometry
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=y1mL1oJPESw
How do we find the diagonal of a square when given the area? We'll solve this geometry problem in today's video math lesson! • This is a fairly straightforward problem, and unsurprisingly it requires us to use the Pythagorean theorem! If we have a square that has area 25, for example, we know the side lengths of the square are the square root of 25 - since the area is the side length squared. Thus the square has sides of length 5. Two sides of a square that intersect in a right angle can then be treated as the leg lengths of a right triangle formed by those sides with the diagonal of a square (the video will make this more clear with a diagram). To finish solving the problem we just apply the Pythagorean theorem to find the diagonal length of the square, which is the hypotenuse of our right triangle! • We could use this method to create a general formula (the formula would be, given an area A of a square, the diagonal d is d = sqrt(2A) ). But I'd recommend just solving the problem whenever necessary, rather than memorizing a formula, because it is a quick problem to solve once you know how to do it. • Note that this method doesn't work for rectangles in general since a rectangle may not have sides of equal lengths. For example, if a rectangle had an area of 6, it could have sides of 3 and 2 or 6 and 1, just to name two possibilities. But a square with area 6 must have sides of length sqrt(6). • Eating Bugs and Proving the Pythagorean Theorem: • Eating BUGS and Proving the Pythagore... • Outro song: • γRainychγ SAY SO - Doja Cat | Japanes... • • I hope you find this video helpful, and be sure to ask any questions down in the comments! • • +WRATH OF MATH+ • • β Support Wrath of Math on Patreon: / wrathofmathlessons • • Follow Wrath of Math on... • β Instagram: / wrathofmathedu • β Facebook: / wrathofmath • β Twitter: / wrathofmathedu • • My Music Channel: / seanemusic
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