. 25 points .please help Pythagoras theorem.

Mathematics

2 answers:

elixir [45]3 years ago

8 0

Step-by-step explanation:

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

Salsk061 [2.6K]3 years ago

4 0

Answer:

20 cm

Step-by-step 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

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