Question

Un patrat are diagonala de 8 cm .Aflati laturile,perimetrul si aria patratului.

Answer 1

d= diagonala

$d = l \sqrt{2}$

$8 = l \sqrt{2}$

$l = \frac{8}{ \sqrt{2} }$

$l = \frac{8 \sqrt{2} }{2}$

$l = 4 \sqrt{2}$

$p = 4l = 4 \times 4 \sqrt{2 } = 16 \sqrt{2}$

$a = {l}^{2} = ( {4 \sqrt{2} })^{2} = 16 \times 2 = 32$