Question

The triangle ABC is a right-angle triangle. The hypotenuse side AB's length is equal to 5, and the side AC's length is equal to 4. What is the length of the side BC?

A) 1
B) 2
C) 3
D) 4

Answer 1

The Pythagorean formula states that a^2+b^2=c^2. 4^2+x^2=5^2, x^2=9, x=3. Answer=C

Answer 2

The length of side BC is 3.

Step-by-step explanation:

To find the length of the side BC, we can use the Pythagorean theorem. According to the theorem, the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse.
The lengths of the legs are 4 and BC (let's say x), and the length of the hypotenuse is 5.
So, applying the Pythagorean theorem, we have: 4² + x² = 5².
Simplifying the equation, we get: 16 + x² = 25.
Solving for x, we find: x² = 9.
Taking the square root of both sides, we have: x = 3.