Question

find the missing leg if one leg is 4 and the hypotenuse is 8. if needed, round your answer to the tenths place. (1 point) the missing side is

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Let \( a = 4 \), \( c = 8 \), find \( b \).
So \( b^2 = c^2 - a^2 \)

Step2: Substitute values

Substitute \( a = 4 \), \( c = 8 \) into formula: \( b^2 = 8^2 - 4^2 = 64 - 16 = 48 \)

Step3: Solve for \( b \)

\( b=\sqrt{48}\approx6.9 \) (rounded to tenths place)

Answer:

6.9