in the adjacent figure x is equal to
Attachments:
Answers
Answered by
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]
[tex] x^{2} = 25^2 - 24^2 \\ x^2 = 625 - 576 \\ x^2 = 49 \\x = \sqrt{49} \\x = 7 cm[/tex]
Answered by
0
Hey dear!!
_________________________________________________________________
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.
________________________________________________________________
Hope helped!!
_________________________________________________________________
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.
________________________________________________________________
Hope helped!!
Similar questions