Question

Find the perimeter of CDE​

Answer 1

4 + 4√2

Explanation:

`CD=\sqrt{\left( 4-4\right)^(2) +\left( -5 - (-1)\right)^(2) } \\\\\\ =\sqrt{\left( 0\right)^(2) +(-4)^(2) }\\\\\\\ = √(16 )\\\\\\ =4`

`DE=\sqrt{\left( 2-4\right)^(2) +\left( -3 - (-5)\right)^(2) } \\\\\\ =\sqrt{\left(-2\right)^(2) +(2)^(2) }\\\\\\\ = √(8 )\\\\\\ =2√(2)`

`\text{\bf{EC} $=\sqrt{\left( 4-2\right)^(2) +\left( -1 - (-3)\right)^(2) } \\\\\\ =\sqrt{\left( 2\right)^(2) +(2)^(2) }\\\\\\\ = √(8 )\\\\\\ =2√(2)$}`

Perimeter (∆CDE) = CD + DE + EC

= 4 + 2√2 + 2√2

= 4 + 4√2

≈ 9.7