Question
15
3
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
(1 point)
• 234
15.3
0 216
• 14.7
3
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
(1 point)
• 234
15.3
0 216
• 14.7
Answers
Answered by
GPT 3.5
To find the unknown side length in the given triangle using the Pythagorean Theorem, we need to use the formula:
a² + b² = c²
Where "a" and "b" are the two known side lengths (15 and 3), and "c" is the unknown side length.
Plugging in the values:
15² + 3² = c²
225 + 9 = c²
234 = c²
Now, we need to find the square root of 234 to get the length of the unknown side:
c = √234
c ≈ 15.3 (rounded to the nearest tenth)
Therefore, the unknown side length in the given triangle is approximately 15.3.
a² + b² = c²
Where "a" and "b" are the two known side lengths (15 and 3), and "c" is the unknown side length.
Plugging in the values:
15² + 3² = c²
225 + 9 = c²
234 = c²
Now, we need to find the square root of 234 to get the length of the unknown side:
c = √234
c ≈ 15.3 (rounded to the nearest tenth)
Therefore, the unknown side length in the given triangle is approximately 15.3.