
a=5 cm, h = 4cm PACH = ?
d = a√2 = 5√2
Z ΔHDC obl. HC :
HD2 + CD2 = HC2
42 + 52 = HC2
HC2 = 16+25
HC2 = 41 ⇒ HC = √41
| d | ||
Z ΔHKC obl. hp : hp2 + ( | )2 = HC2 | |
| 2 |
| 5√2 | ||
hp2 + ( | )2 = 41 | |
| 2 |
| 25 | ||
hp2 + | = 41 | |
| 2 |
| 1 | ||
hp2 = 28 | ||
| 2 |
| 57 | √57 | √114 | ||||
hp = √ | = | = | ||||
| 2 | √2 | 2 |
| 1 | 1 | √114 | 5√228 | |||||
PACH = | *d*hp = | * 5√2 * | = | = | ||||
| 2 | 2 | 2 | 4 |
| 5√4*57 | 10√57 | 5√57 | ||||
= | = | = | ||||
| 4 | 4 | 2 |
