if you have a right triangle with one leg side 8 in, the hypotenuse is 12 in, and the other leg is unknown, y.
What is the equation you would use to find the length of side y ?
To find the length of the other leg (y), you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Mathematically, this can be represented as:
a^2 + b^2 = c^2
In this case, one leg side is given as 8 in (let's say a = 8 in), the hypotenuse is given as 12 in (let's say c = 12 in), and the length of the other leg is unknown (let's say b = y). Substituting these values into the Pythagorean theorem equation, we get:
8^2 + y^2 = 12^2
Simplifying, we get:
64 + y^2 = 144
y^2 = 144 - 64
y^2 = 80
Taking the square root of both sides to solve for y, we get:
y = √80
y ≈ 8.94 inches
Therefore, the length of the other leg (y) is approximately 8.94 inches.
is it
(1 point)
Responses
82+122=y2
8 squared plus 12 squared is equal to y squared
(8+12)2=y2
open paren 8 plus 12 close paren squared is equal to y squared
82+y2=122
8 squared plus y squared is equal to 12 squared
(8+y)2=122
The correct equation for the given scenario is:
8^2 + y^2 = 12^2
This simplifies to:
64 + y^2 = 144
From here, you solve for y as shown in the previous response.