Question

7 yd.
4 yd.
b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = \boxed{} yards
save answer

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse, and \( a, b \) are the legs. Here, \( c = 7 \), \( a = 4 \), so \( 4^2 + b^2 = 7^2 \).

Step2: Solve for \( b^2 \)

Calculate \( 4^2 = 16 \), \( 7^2 = 49 \). Then \( b^2 = 49 - 16 = 33 \).

Step3: Find \( b \)

Take square root: \( b = \sqrt{33} \approx 5.7 \) (rounded to nearest tenth).

Answer:

5.7