Answer:
12 cm
Explanation:
From
Pythagoras Theorem
h
2
=
a
2
+
b
2
where
h =
Length of hypotenuse side
a =
Length of one leg
b =
Length of another leg
(
20 cm
)
2
=
(
16 cm
)
2
+
b
2
b
2
=
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
400 cm
2
−
256 cm
2
b
=
√
144 cm
2
b = 12 cmStep-by-step explanation:
Answer:
16 units
Step-by-step explanation:
For a right triangle, a²+b²=c², where a and b are leg lengths, and c is the hypotenuse. Given one leg length and the hypotenuse, we can find the other leg length by plugging in our given information:
a²+b²=c²
12²+b²=20²
144+b²=400
b²=256
b=16
Therefore, the missing leg length is 16 units.
