The square root of 169 is ±13. There is point in putting that back in radical form to √169, is there?
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Side of a square= take out the square root Area=169cm ² Square root of 169= 13 Side= 13 cm²
If the 13 was the long side (hypoteneuse), the other side would be the square root of 13²-5² = square root of 169-25 = square root of 144 = 12. (according to Pythagoras). If the 13 was a short side, the other is square root of 13² + 5² = square root of 169+25 = square root of 194, or about 13.93
In any right triangle, the hypotense squared = the square of one side + the square of the other side. h2 = a2 + b2 Here, h2 = 52 + 122 = 25 + 144 = 169 We have h2 = 169 The square root of 169 is 13, so the length of the hypotenuse is 13 inches.
The perimeter of a square with an area of 169 cm2 is: 52 cm
Area = length x width. In a square, the length and width are the same measurement, since all four sides of a square are congruent. So instead of the familiar formula A = lw, you can use A = s2 where s is a side length. In this problem, you know the area but not the side length. You can still use the formula, plug in the value you know, and solve for s, the side length of the square. A = s2 169 = s2 s = square root of 169 s = 13 Each side of the square is 13 cm. The area is 13 cm x 13 cm = 169 square cm.