Respuesta :

Answer:

C= 10

Step-by-step explanation:

A=8

B=6

C= ?

1. Set up the equation for the Pythagorean theorem and fill in the variables.

8² + 6² = c

64 + 36 = 100

2. Square root 100.

Square root of 100 = 10

Answer = 10

The missing length on the right triangle is 10 in.

What is right triangle?

"It is a triangle whose one of the angle measures 90°"

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a, b are other two sides of the right triangle."

For given question,

We have been given a right triangle with a = 8 in. and b = 6 in

We need to find the the value of c.

Using Pythagorean theorem,

[tex]\Rightarrow c^2 = a^2+b^2\\\Rightarrow c^2 = 8^2+6^2\\\Rightarrow c^2 = 64+36\\\Rightarrow c^2 = 100\\\Rightarrow c=10~in[/tex]

Therefore, the missing length on the right triangle is 10 in.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/343682

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