Answer:16.12 centimeters to 1 decimal place.
Step-by-step explanation:
To find the missing side,
xy, using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (
xy) is equal to the sum of the squares of the lengths of the other two sides (14 cm and 8 cm).
So, we have:
2
=
1
4
2
+
8
2
xy
2
=14
2
+8
2
2
=
196
+
64
xy
2
=196+64
2
=
260
xy
2
=260
To find
xy, we take the square root of both sides:
=
260
xy=
260
â
â
16.12
cm
xyâ16.12 cm
So, the length of
xy is approximately
16.12
16.12 centimeters to 1 decimal place.