Question

note: figure is not drawn to scale. if k = 56 cm and l = 65 cm, what is the length of j? a. 33 cm b. 36 cm c. 39 cm d. 86 cm

Explanation:

Step1: Identify right triangle sides

Hypotenuse \( l = 65 \), one leg \( k = 56 \), find leg \( j \).

Step2: Apply Pythagorean theorem

\( j^2 + k^2 = l^2 \) → \( j^2 = l^2 - k^2 \)

Step3: Calculate \( j^2 \)

\( j^2 = 65^2 - 56^2 = 4225 - 3136 = 1089 \)

Step4: Find \( j \)

\( j = \sqrt{1089} = 33 \)

Answer:

A. 33 cm