Question

Josephine's school can be represented by Point A (9,9). Point A can be translated 6 units LEFT and 5 units DOWN to create A', the location of Josephine's house. Which of the following can be used to find the 'd', the diagonal distance between

Point A and Point A' on the grid? Please show your work and answer correctly.
F. 6 squared + 5 squared = d squared
G. 9 squared + 4 squared = d squared
H. d squared + 5 squared = 6 squared
J. 6 squared - 5 squared = d squared

Answer 1

F. the distance is
`√(61)`

Explanation:

so this is a right triangle.

that means if the diagonal is missing, you can find it by doing
`a^(2) +b^(2) = c^(2)`

The "rays" of a triangle are the sides that you know which is 5 and 6. luckily they meet at a right angle. therefore you can plug them in for a and b.

`6^(2) + 5^(2) = d^(2)`

6^2 equals 36

5^2 equals 25

36 + 25 is 61

now just add a square-root sign.

`√(6) + √(5) = √(61)`