Question

Find the approximate length of segment AC. Math item stem image CLEAR CHECK 5.74 units 8.06 units 11 units 65 units

Answer 1

Answer:

         $\large\boxed{\large\boxed{8.06units}}$

Explanation:

The figure is a right triangle with:

• hypotenuse = segment AC
• vertical leg = 7 units
• horizontal leg = 4 units

Hence, you must use Pythagora's theorem, which is valid for all right triangles:

             $hypotenuse^2=(leg_1)^2+(leg_2)^2$

Substituting the data:

        $hypotenuse^2=(7unit)^2+(4unit)^2=49unit^2+16unit^2=65unit^2$

Square root both sides:

         $hypotenuse=\sqrt{65unit^2}=8.06unit$