Question

Find the hypotenuse for the following ​

Answer 1

6.4 (rounded to nearest tenth)

Explanation:

Distance from (-3,-1) to (2,-1) is 5 units

Distance from (2,-1) to (2,3) is 4 units

4^2+5^2=x^2 x=hypothenuse

16+25=x^2

41+x^2

(take square root of both sides)

x=6.4

Answer 2

6.403 units

or
`√(41)`

Explanation:

We want the hypotenuse.

The hypotenuse is from the point (-3, -1) to point (2, 3)

D( (-3, -1), (2, 3)) = root ( (2 - (-3))^2 + (3 - -1)^2 ) =

D( (-3, -1), (2, 3)) = root ( 5^2 + 4^2) = root( 25 + 16)

D( (-3, -1), (2, 3)) = root ( 41)

D( (-3, -1), (2, 3)) = 6.403 units