Question

three ballet dancers are positioned on stage. if hayley is 9.2 feet straight behind martha and 2.7 feet directly left of bernie, how far is martha from bernie? if necessary, round to the nearest tenth.
feet

Explanation:

Step1: Apply Pythagorean theorem

Let the distance between Martha and Bernie be \(d\). According to the Pythagorean theorem \(d=\sqrt{9.2^{2}+2.7^{2}}\).

Step2: Calculate the squares

\(9.2^{2}=84.64\) and \(2.7^{2} = 7.29\).

Step3: Sum the squares

\(84.64 + 7.29=91.93\).

Step4: Take the square root

\(d=\sqrt{91.93}\approx9.6\).

Answer:

\(9.6\)