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Sagot :
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
Step-by-step explanation:
[tex]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[/tex]
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