Sarah is creating a triangular birthday card for her teacher. In order to glue lace around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
A 2.5 < X < 36
B 2.5 < x < 36
C5< x < 13
D 5 S XS 13

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the answer is 13 cm

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.