Questions: Use the Pythagorean Theorem to find the missing length in the right triangle.

Transcript text: Use the Pythagorean Theorem to find the missing length in the right triangle.

Solution

Step 1: Identify the given values

In the right triangle, we are given:

Step 2: Apply the Pythagorean Theorem

The Pythagorean Theorem states: \[ a^2 + b^2 = c^2 \] We need to find the missing leg \( b \).

Step 3: Substitute the known values into the equation

\[ 11^2 + b^2 = 26^2 \] \[ 121 + b^2 = 676 \]

Step 4: Solve for \( b^2 \)

\[ b^2 = 676 - 121 \] \[ b^2 = 555 \]

Step 5: Find \( b \) by taking the square root

\[ b = \sqrt{555} \] \[ b \approx 23.5 \] (rounded to one decimal place)

The missing length \( b \) is approximately \( 23.5 \).

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