Respuesta :

Answer:

Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\[/tex]

The value of x is 6.46 inch.

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Given: breadth = 3.6, diagonal= 7.4

Using Pythagoras theorem,

H²=P²+B²

(7.4)²= (3.6)²+B²

54.76=12.96 + B²

54.76-12.96=B²

41.8= B²

B= 6.46 inch.

Hence, the value of x is 6.46 inch.

Learn more about Pythagoras theorem here:

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