Question

3.1 mm
a
1.6 mm
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = millimeters
submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 3.1 \), one leg \( b = 1.6 \), find \( a \). So \( a^2 = c^2 - b^2 \).
\( a^2 = 3.1^2 - 1.6^2 \)

Step2: Calculate squares

\( 3.1^2 = 9.61 \), \( 1.6^2 = 2.56 \)

Step3: Subtract and take square root

\( a^2 = 9.61 - 2.56 = 7.05 \), \( a = \sqrt{7.05} \approx 2.655 \approx 2.7 \) (rounded to nearest tenth)

Answer:

2.7