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MrYums

Answer:

A: 10

Step-by-step explanation:

Using  Pythagorean theorem we know a^2+b^2=c^2

8^2+6^2=?^2

64+36=?^2

100=?^2

?=10

The given right angle triangle has a side 6 unit and 8 unit. So, the length of the missing side of the triangle will be 10 units.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The given right angle triangle has a side 6 unit and 8 unit. we need to find the missing side.

Let the missing side be x which is the hypotenuse of the triangle.

Using the Pythagorean theorem we know

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

[tex]8^2+6^2=x^2\\64+36=x^2\\100=x^2\\x=10[/tex]

Hence, the length of the missing side of the triangle will be 10 units.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

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