From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's ho

Question

3 years ago

5

From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's ho

use. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Mathematics

1 answer:

maksim [4K] · Answer 1 · 2022-08-16T18:34:34+03:00

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dans house to Samuel's house is 4 km

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