Question

1

17
3
7
8
9
2
9
10
11
12
City Y is 10 miles north of city X.
City Z is 24 miles east of city X
How long is the straight rode
connecting cities Y and Z?
3
73
14
15
4
16
18
AN
5
19
21
6
23

Answer 1

Distance between cities Y and Z = 26 miles

Explanation:

From the picture attached,

Length of XY = 10 mi

Length of XZ = 24 mi

By applying Pythagoras theorem in the given right triangle XYZ,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

YZ² = XY² + XZ²

= 10² + 24²

= 100 + 576

= 676

YZ = √676

= 26 mi

Therefore, distance between cities Y and Z is 26 mi.