Question

3
answer: 35/37 (s)
12/37 (c)
35/12 (t)
john leaves school to go home. he walks 6 blocks north
and then 8 blocks west.
in a straight line, how far is johns home from school?

Explanation:

Step1: Apply Pythagorean theorem

The distance walked north \(a = 6\), the distance walked west \(b=8\). The straight - line distance \(d\) forms the hypotenuse of a right - triangle. By the Pythagorean theorem \(d=\sqrt{a^{2}+b^{2}}\).

Step2: Substitute values

Substitute \(a = 6\) and \(b = 8\) into the formula: \(d=\sqrt{6^{2}+8^{2}}=\sqrt{36 + 64}=\sqrt{100}\).

Step3: Calculate the result

\(\sqrt{100}=10\) blocks.

Answer:

10 blocks