Answer:
1. Since we are given two potential values for side a, we cannot accurately solve for side b without additional information.
2. We can use the Pythagorean theorem to solve for side a:
a^2 + b^2 = c^2
a^2 + 12^2 = 20^2
a^2 = 20^2 - 12^2
a^2 = 256
a = sqrt(256)
a = 16
Therefore, side a has a length of 16 units.
3. We can use the Pythagorean theorem to solve for side c:
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
c = sqrt(52)
c = 2sqrt(13)
Therefore, side c has a length of 2sqrt(13) units.
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Answers & Comments
Answer:
1. Since we are given two potential values for side a, we cannot accurately solve for side b without additional information.
2. We can use the Pythagorean theorem to solve for side a:
a^2 + b^2 = c^2
a^2 + 12^2 = 20^2
a^2 = 20^2 - 12^2
a^2 = 256
a = sqrt(256)
a = 16
Therefore, side a has a length of 16 units.
3. We can use the Pythagorean theorem to solve for side c:
a^2 + b^2 = c^2
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
c = sqrt(52)
c = 2sqrt(13)
Therefore, side c has a length of 2sqrt(13) units.