For the following question, find the length of the missing side leave. Your answer in simplest radical form.
Please help I’m so confused on this lesson!

For the following question find the length of the missing side leave Your answer in simplest radical form Please help Im so confused on this lesson class=

Respuesta :

Answer:

[tex]\sqrt{203}m[/tex]

Step-by-step explanation:

The given triangle is a right triangle.

According to the Pythagoras Theorem; The length of the square of the hypotenuse is equal to the sum of the squares of the two shorter legs.

Let the unknown shorter side be [tex]l[/tex] meters, then

[tex]11^2+l^2=18^2[/tex]

This implies that;

[tex]121+l^2=324[/tex]

[tex]\Rightarrow l^2=324-121[/tex]

[tex]\Rightarrow l^2=203[/tex]

Take positive square root of both sides;

[tex]l=\sqrt{203}[/tex]

The correct choice is D