Triangles Online Practice

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Question
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A right-angled triangle is labeled as follows: the height is labeled 9 inches; the base is labeled 12 inches; and hypotenuse is labeled c.

Rosanna calculates that the length of c
is 225 in. What needs to be corrected in her calculation?

(1 point)
Responses

Rosanna mistakenly added the squared hypotenuse with the square of the longest leg instead of adding both squared legs.
Rosanna mistakenly added the squared hypotenuse with the square of the longest leg instead of adding both squared legs.

Rosanna’s answer is right because she correctly applied the Pythagorean Theorem.
Rosanna’s answer is right because she correctly applied the Pythagorean Theorem.

Rosanna forgot to divide the answer she found through the Pythagorean Theorem by 2.
Rosanna forgot to divide the answer she found through the Pythagorean Theorem by 2.

Rosanna should take the square root of the sum when using the Pythagorean Theorem.
Rosanna should take the square root of the sum when using the Pythagorean Theorem.
Remaining Attempts : 3
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the length of the hypotenuse \( c \) in a right-angled triangle using the Pythagorean Theorem, you need to use the formula:

\[ c = \sqrt{a^2 + b^2} \]

where \( a \) and \( b \) are the lengths of the two legs (height and base, in this case).

Given:

  • Height = 9 inches
  • Base = 12 inches

Calculating \( c \):

  1. Calculate \( a^2 \) and \( b^2 \):

    • \( 9^2 = 81 \)
    • \( 12^2 = 144 \)
  2. Add these values:

    • \( 81 + 144 = 225 \)
  3. Take the square root:

    • \( c = \sqrt{225} = 15 \) inches

Given that Rosanna calculated \( c \) as 225 inches, it suggests that she did not follow the correct procedure.

The correct answer to the question is:

Rosanna mistakenly added the squared hypotenuse with the square of the longest leg instead of adding both squared legs.