Question

A right triangle has sides 14 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse.

Answer 1

The length of the hypotenuse of a right triangle with sides 14 and 48 is 50, as determined using the Pythagorean Theorem (c^2 = a^2 + b^2).

Answer 2

According to the Pythagorean Theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we have:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Substituting the given values, we get:

c^2 = 14^2 + 48^2

c^2 = 196 + 2304

c^2 = 2500

Taking the square root of both sides, we get:

c = 50

Therefore, the length of the hypotenuse is 50 units.