Question

. 25 points .please help Pythagoras theorem.​

Answer 1

Explanation:

`here \: oy = ox = b\\ then \: xy = b + b = 2b \\ using \: pythagorean \: theorom \: \\ {(xy)}^(2) = {(xz)}^(2) - {(zy)}^(2) \\ {(2b)}^(2) = {41}^(2) - {9}^(2) \\ 4 {b}^(2) = 1681 - 81 \\ 4 {b}^(2) = 1600 \\ {b}^(2) = 1600 / 4 = 400 \\ b = √(400) = 20 \\ thank \: you`

Answer 2

• 20 cm

Explanation:

The bottom leg is divided into equal segments, one of them is b.

It means the bottom leg is b + b = 2b.

According to Pythagorean:

• 41² = (2b)² + 9²

Solve for b:

• 1681 = 4b² + 81
• 4b² = 1681 - 81
• 4b² = 1600
• b² = 400
• b = √400
• b = 20 cm