Question

1. find the missing side. round to the nearest tenth. triangle with right angle, 45° angle, hypotenuse 17, leg x options: 12.3, 12.0, 12.1, 12.2

Explanation:

Step1: Identify triangle type

It's a 45-45-90 right triangle (right angle + 45°).

Step2: Recall side ratio

In 45-45-90 triangle, legs are equal, hypotenuse = leg×√2.

Step3: Set up equation

Let leg = $x$, hypotenuse = 17. So $17 = x\sqrt{2}$.

Step4: Solve for $x$

$x = \frac{17}{\sqrt{2}} \approx \frac{17}{1.4142} \approx 12.0$

Step5: Round to nearest tenth

12.0 (already to nearest tenth)

Answer:

12.0