What is the value of x?

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x =
A right triangle. The legs are labeled seven and twenty-four, and the hypotenuse is labeled x.

Respuesta :

Solution :-


Given - 


The two sides other than hypotenuse = 7 cm and 24 cm


By using Pythagoras Theorem.


(Hypotenuse)²  = √(Base)² + (Perpendicular)²


Let the hypotenuse of the given triangle be x cm


⇒ (x)² = √(7)² + (24)²


⇒ √49 + 576


⇒ √625


⇒ 25


So, the length of hypotenuse is 24 cm.




Answer:

[tex]x=25[/tex]

Step-by-step explanation:

From the given statement, it is given that ABC is a right triangle which is right angled at B and AC=x, AB=24 and BC=7.

Then, using the Pythagoras theorem , we have

[tex](AC)^2=(AB)^2+(BC)^2[/tex]

Substituting the given values, we have

[tex]x^2=(24)^2+(7)^2[/tex]

[tex]x^2=576+49[/tex]

[tex]x^2=625[/tex]

[tex]x=25[/tex]

Therefore, the value of x is 25.

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