Math, asked by Anonymous, 1 year ago

in the adjacent figure x is equal to

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Answered by AntrikshSharma
3
By using the Pythagorean Theorem

[tex] x^{2} = 25^2 - 24^2 \\ x^2 = 625 - 576 \\ x^2 = 49 \\x = \sqrt{49} \\x = 7 cm[/tex]
Answered by Swatishka
0
Hey dear!!
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The given figure shows a right-angled triangle named ΔABC with BC as the base of the triangle which measures 24 cm and AC as the hypotenuse which measures 25 cm. So, we need to find the value of x that is, AB, the height of the triangle. 

As the pythagoras theorem states that the square on the hypotenuse is equal to the sum of the squares on the height and base. So, (24)² + (x)² = (25)².

So to find the value of x, we must subtract the square on the hypotenuse with the square on the base. 

Therefore, 

(x)² = (25)² - (24)²
(x)² = 625 - 576
(x)² = 49 
x = 7 cm

Therefore, the value of x is 7 cm.
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Hope helped!!
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