Respuesta :

12²+9²=144+81=225
√225= 15
D) 15

Missing side length in the given right triangle is 15units.

What is right triangle?

" Right triangle is defined as the two dimensional closed figure with sides , three vertices and three angles enclosed in it , with one of the interior angle measure equals to 90°."

Formula used

Pythagoras theorem

(Hypotenuse)²= (Opposite side)² + (adjacent side)²

According to the figure,

In the given right triangle,

Opposite side of right triangle = 9 units

Adjacent side of right triangle = 12 units

'x' represents side length of hypotenuse of right triangle

Substitute the value in the Pythagoras theorem we get,

   [tex]x^{2} = 9^{2} + 12^{2}[/tex]

⇒[tex]x^{2} =81 +144[/tex]

⇒[tex]x^{2} = 225[/tex]

⇒[tex]x=\sqrt{225}[/tex]

⇒[tex]x=15[/tex] units

Hence, missing side length in the given right triangle is 15units.

Learn more about right triangle here

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