Question

Two sides of a triangle tile measure 3 inches and 4 inches.The third side, in inches ,is a whole number

Answer 1

Assuming the two sides are not the hypotenuse, then the third side would equal 5

Explanation:

using the formula
`a^(2) + b^(2) = c^(2)`

c is the hypotenuse while a and b are the sides.

`3^(2) + 4^(2) = c^(2) \\`

so that simplifies to 9 + 16 =
`c^(2)`

25=
`c^(2) \\`

in order to get just c alone, we must square both sides

`√(25) =  √(c)^(2)`

this cancels out on the right side and leaves you with 5 on the left

therefore c=5

Answer 2

12 inches is the measure of the 3 one