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Find the value of x. If​ necessary, write your answer in the simplest radical form.

Find The Value Of X If Necessary Write Your Answer In The Simplest Radical Form class=

Sagot :

Answer:

x = 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = [tex]\sqrt{80}[/tex] = [tex]\sqrt{16(5)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]

Answer is = 90°

Hope this helps