Find the unknown length x in the following figures (Fig 6.29):
X
х
3
4
8
(i)
(ii)तेरे मेरे रिश्ते नू
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where is the figure
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Given : 6 right angles triangles
To Find : value of x
Solution:
Pythagoras theorem
P² + B² = H²
P = Perpendicular
B = Base
H = Hypotenuse
i) x ² = 3² + 4²
=> x² = 9 + 16
=> x² = 25
=> x = 5
ii) x ² = 6² + 8²
=> x² = 36 + 64
=> x² = 100
=> x = 10
iii) x ² = 15² + 8²
=> x² = 225 + 64
=> x² = 289
=> x = 17
iv) x ² =7² + 24²
=> x² = 49 + 576
=> x² = 625
=> x = 25
v) x = 2 √(37² - 12²)
=> x = 2 * 35
=> x = 70
mistake in data in 6
as 12² + 5² = 13²
Area = (1/2) * 12 * 5 = 30
or Area = (1/2) * 13 * 3 = 19.5
19.5 ≠ 30
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