Question

Determine the length of side BA using the Pythagorean Theorem and round your answer to the nearest tenth's place.​

Answer 1

Let the required side (=BA) be x meter

According to the problem, (using the Pythagorus Theorem)

`{x}^(2) + ({4.1)}^(2) = {(4.7)}^(2) \\ {x}^(2) = {(4.7)}^(2) - {(4.1)}^(2) \\ {x}^(2) = (4.7 + 4.1)(4.7 - 4.1) \\ {x}^(2) = 8.8 * 0.6 \\ {x}^(2) = 5.28 \\ x = √(5.28) \\ \boxed{x = 2.3 \: meter}`

2.3 m is the right answer.

Answer 2

• 2.3 cm

Explanation:

• BA² = AC² - BC²
• BA = √AC² - BC²
• BA = √4.7² - 4.1² = √5.28 = 2.3 cm (rounded)