If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long. How many inches long is the triangles hypotenuse?
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, one leg of the triangle is 8 inches long, and the other leg is 12 inches long. Let's label the legs as side A and side B, and the hypotenuse as side C.
Using the Pythagorean theorem, we have:
C^2 = A^2 + B^2
Substituting the values we have:
C^2 = 8^2 + 12^2
C^2 = 64 + 144
C^2 = 208
To find C, we take the square root of both sides:
C = √208
C ≈ 14.42 inches
So, the hypotenuse of the right triangle is approximately 14.42 inches long.
Pythagorean theorem
A^2 + B^2 = Hyp.^2
8^2 + 12^2 = Hyp.^2
I'll let you do the calculations.