Question

9:01 AM Tue Apr 6

9% 14
< Tima Alnasmeh's p...
Q.1 Pythagorean theorem
O 01:19
Jaden is playing hide-and-seek with Henry and Valentina. Henry is hiding 12 meters south of
Jaden, and Valentina is hiding due east of Henry. If Jaden is 20 meters from Valentina, how many meters far apart are Henry and Valentina?

Answer 1

Henry and Valencia are 16 m apart.

Explanation:

A sketch to this question shows that their distance apart forms a right angled triangle. So then, we can apply the Pythagoras theorem.

Let the distance between Henry and Valencia be represented by x, so that;

`/hyp/^(2)` =
`/adj 1/^(2)` +
`/adj 2/^(2)`

`20^(2)` =
`x^(2)` +
`12^(2)`

400 =
`x^(2)` + 144

`x^(2)` = 400 - 144

= 256

x =
`√(256)`

= 16

x = 16 m

Therefore, Henry and Valentia are 16 meters apart.