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To find the distance between (-3,4) and (3,-1), Jacob's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Jacob then used 52 and 62 to find the distance represented by the red segment. What distance did he find?

Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

Let

A(-3,4)

B(3,-1)

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

[tex]AB^2=AC^2+BC^2[/tex]

where

AB is the hypotenuse of the right triangle

AC and BC are the legs of the right triangle

substitute the given values

[tex]AB^2=5^2+6^2[/tex]

[tex]AB^2=61[/tex]

so

Jacob found the square of the distance represented by the red line

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