Question

A builder makes staircases where each step is 28\,\text{cm}28cm28, start text, c, m, end text long and rises 18\,\text{cm}18cm18, start text, c, m, end text so people don't trip. Every staircase has a stringer — a diagonal support connecting all of the steps.

Answer 1

Answer:

Each stringer is 33.3 centimeters long, approximately.

Step-by-step explanation:

According to the problem, the stringer for this staircase is the diagonla, which means it's the hypothenuse of the right triangle formed, where its legs are 28 centimeters and 18 centimeters. That means we need to use Pythagorean's Theorem to find the answer.

$s^{2} =18^{2}+28^{2}\\ s=\sqrt{784+324}=\sqrt{1108}\\ s \approx 33.3$

Therefore, each stringer is 33.3 centimeters long, approximately.

Answer 2

Answer:

    $x^{2} =18^{2}+28^{2}\\\\ x=\sqrt{784+324}\\\\x=\sqrt{1108}\\\\x=32.29 \\\\x \approx 33cm$

Therefore, each stringer is 33 centimeters long

Step-by-step explanation:

• we need to use Pythagorean's Theorem to find the answer.
• the legs are 28 centimeters and 18 centimeters.

    $x^{2} =18^{2}+28^{2}\\\\ x=\sqrt{784+324}\\\\x=\sqrt{1108}\\\\x=32.29 \\\\x \approx 33cm$

Therefore, each stringer is 33 centimeters long