One of the legs of a right triangle measures 3 cm and the other leg measures 14 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Using the Pythagorean theorem, the hypotenuse can be found:
c^2 = a^2 + b^2
c^2 = 3^2 + 14^2
c^2 = 225
c = √225
c = 15
Therefore, the measure of the hypotenuse is 15 cm.
To find the measure of the hypotenuse of a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the legs of the right triangle measure 3 cm and 14 cm.
Let's label the shorter leg as side A, the longer leg as side B, and the hypotenuse as side C.
So we have:
A = 3 cm
B = 14 cm
To find side C, we'll use the Pythagorean theorem:
C^2 = A^2 + B^2
Substituting the given values, we have:
C^2 = (3 cm)^2 + (14 cm)^2
C^2 = 9 cm^2 + 196 cm^2
C^2 = 205 cm^2
To find C, we take the square root of both sides:
C = √205 cm
C ≈ 14.3 cm
Therefore, the measure of the hypotenuse is approximately 14.3 cm.