Question

find the length of a. hint : a² + b² = c² round your answer to the nearest tenth.

Explanation:

Step1: Identify values of b and c

Given $b = 6$ m and $c = 8$ m.

Step2: Rearrange the Pythagorean theorem

We have $a^{2}=c^{2}-b^{2}$. Substituting the values, we get $a^{2}=8^{2}-6^{2}$.

Step3: Calculate the squares

$8^{2}=64$ and $6^{2}=36$. So $a^{2}=64 - 36=28$.

Step4: Solve for a

$a=\sqrt{28}\approx5.3$ m.

Answer:

$5.3$ m