Question

unit 4 #b quiz review (r)
score: 14/24 answered: 8/12
question 9
find x,
diagram of a rectangle with length 69, width 26, and diagonal x
x =
notes: round your answer to the nearest two decimal places. figure is not to scale.
submit question

Explanation:

Step1: Identify the triangle type

The figure is a rectangle, so the triangle formed by the diagonal is a right triangle with legs 69 and 26, and hypotenuse \( x \).

Step2: Apply Pythagorean theorem

The Pythagorean theorem states \( a^2 + b^2 = c^2 \), where \( a = 69 \), \( b = 26 \), and \( c = x \).
Substitute the values: \( x^2 = 69^2 + 26^2 \).
Calculate \( 69^2 = 4761 \) and \( 26^2 = 676 \).
Sum: \( 4761 + 676 = 5437 \).

Step3: Solve for \( x \)

Take the square root: \( x = \sqrt{5437} \approx 73.74 \).

Answer:

\( 73.74 \)