Question

HELP. WILL GIVE BRAINLIEST, WHEN ANSWERED.

Answer 1

Answer:

√89 or 9.43 units is the distance between Sophia's house and library

Step-by-step explanation:

H (1 ,1)  ⇒ House

L(6 , 9) ⇒ Library

Leg₁ = OH = 6 - 1 = 5 units

Leg₂ = OL = 9 - 1 = 8 units

 Pythagorean theorem;

            Hypotenuse² = leg₁² + leg₂²

                                   = 5² + 8²

                                    = 25 + 64

                                    = 89

              hypotenuse = √89 units  (radical form)

               hypotenuse = 9.43 units