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

8.06

Step-by-step explanation:

Answer 2

`\large\boxed{\large\boxed{8.06units}}`

Step-by-step 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=√(65unit^2)=8.06unit`