Find the length of the diagonal of a square that has an area of 25 square inches

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer:

7.07

Step-by-step explanation:

If the square has an area of 25 then its side lengths must be 5 by 5.

The diagonal of the square can be found using the Pythagorean theorem. Substitute a = 5 and b = 5.

5² + 5² = c²

25 + 25 = c²

50 = c²

√50 = c

7.07 =c

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<h3>More to know:-</h3><h3>Formulas related to surface area and volume:-</h3>

$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$