Question

1. what is the length in centimeters of the hypotenuse of a right triangle with legs of 1.2 m and 80 cm

Explanation:

Step1: Convert units to cm

1.2 m = 1.2 × 100 = 120 cm

Step2: Apply Pythagorean theorem

Let \( a = 120 \) cm, \( b = 80 \) cm. Hypotenuse \( c = \sqrt{a^2 + b^2} \)
\( c = \sqrt{120^2 + 80^2} = \sqrt{14400 + 6400} = \sqrt{20800} \)
Simplify \( \sqrt{20800} = \sqrt{1600×13} = 40\sqrt{13} \approx 40×3.6055 = 144.22 \) cm

Answer:

Approximately 144.22 cm (or \( 40\sqrt{13} \) cm)