Two sides of a right triangle measure 5 in and 12 in. if the third side is longer than either of these sides, what is its measure?
dont forgot your units: Ex12
To find the length of the third side of the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
In this case, the two shorter sides measure 5 in and 12 in.
Applying the Pythagorean theorem:
c^2 = a^2 + b^2
where a = 5 in and b = 12 in
c^2 = 5^2 + 12^2
c^2 = 25 + 144
c^2 = 169
Taking the square root of both sides:
c = sqrt(169)
c = 13
Therefore, the measure of the third side is 13 inches.