Respuesta :

Answer:

B. 8.6

Step-by-step explanation:

Given:

Draw a right angled triangle ABC as as shown below.

From the triangle [tex]\Delta ABC[/tex],

Calculate the number of units from A to C and from C to B, we get

AC = 7 units and BC = 5 units.

Now using Pythagorean Theorem,

[tex]AB^{2}=BC^{2}+AC^{2}\\AB^{2}=(7)^{2}+(5)^{2}\\AB^{2}=49+25\\AB^{2}=74[/tex]

Taking square root on both sides, we get

[tex]\sqrt{AB^{2}}=\sqrt{74}\\AB=8.6[/tex]

Therefore, the distance between points A and B rounded to the nearest tenth is 8.6 units.

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