Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

Find the value of x. Leave your answer in simplest radical form.

Find The Value Of X Leave Your Answer In Simplest Radical Form class=

Sagot :

Joshnathanlee2006idn

Answer:

First you need to find at least two dimensions of the triangle containing a side length of x. The triangle of the top can be used for that. The hypothenuse for the 7,3 triangle is [tex]\sqrt{58}[/tex].

Now we can use the other triangle with sides of x,[tex]\sqrt{58}[/tex], and a hypothenuse of 9 to find x.

x^2 + [tex]\sqrt{58}^2[/tex] = 9^2

simplify

x^2 + 58 = 81

subtract 58 from both sides

x^2 = 23

x = [tex]\sqrt{23\\}[/tex]

and since this radical cannot be simplified further that is your answer.

Step-by-step explanation:

Reinhard10158idn

Step-by-step explanation:

Pythagoras.

c² = a² + b²

c being the Hypotenuse (the side opposite of the right angle).

so, the length of the rectangle is the Hypotenuse of the right-angled triangle on the top :

length² = 7² + 3² = 49 + 9 = 58

length = sqrt(58)

the diagonal of the rectangle is again the Hypotenuse of the right-angled triangle of length (sqrt(58)), width (x) and diagonal (9) of the rectangle.

so, we have

9² = sqrt(58)² + x² = 58 + x²

81 = 58 + x²

23 = x²

x = sqrt(23)

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.