Question

Two of the sides of a right triangle are 4 and 5. What is the length of the third side? Find all possible answers.

Answer 1

Explanation:

We will use a phayragoras theorem

a^2 +b^2= c^2

let side1=4 be a

let side2=5 be b

let the 3rd side be the hypotnuous=c

therfore 4^2+5^2=c^2

=16+25=c^2

=41=c^2.

therfore c=√41

Answer 2

To find the length of the third side of a right triangle when two sides are given, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's assume the two given sides are 'a' and 'b', and the unknown third side is 'c' (the hypotenuse).

Using the Pythagorean theorem:

c² = a² + b²

Substituting the given values:

c² = 4² + 5²

c² = 16 + 25

c² = 41

To find the length of 'c', we need to take the square root of both sides:

c = √41

So, the length of the third side is √41 (approximately 6.40) when rounded to two decimal places.

Therefore, the possible length of the third side of the right triangle is √41.