if the legs of a right triangle have lengths of 6 inches and 8 inches what is the length of the hypotenuse in inches
A. 11
B. 13
C. 10
D. 16***
Nunya is right
No.
a^2 + b^2 = c^2
the correct answer is
C
But what's the rest of it?
C
D
B
C
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the lengths of the legs are 6 inches and 8 inches. Let's call the length of the hypotenuse "c".
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
where c is the hypotenuse, and a and b are the lengths of the legs.
Substituting the given values into the equation, we get:
c^2 = 6^2 + 8^2
Simplifying the equation, we get:
c^2 = 36 + 64
c^2 = 100
To find the length of the hypotenuse, we take the square root of both sides of the equation:
c = √100
c = 10
Therefore, the length of the hypotenuse in inches is 10.
So, the correct answer is C. 10.