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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