Question

What is the length of side x on the right triangle below?

Answer 1

The length of side x on the right triangle below is
`√(34\\)`.

In a right-angled triangle, you can use the Pythagorean Theorem to find the length of the hypotenuse (c) when you know the lengths of the other two sides (legs), a and b. The Pythagorean Theorem is given by:

c^2 =a^2 +b^2

In this case, the base (a) is 5 units, and the height (b) is 3 units. Let's substitute these values into the formula:

c^2 =5^2 +3^2

c^2 =25+9

c^2 =34

Now, to find c, take the square root of both sides: c=
`√(34)`

​So, the length of the hypotenuse (x) is
`√(34)` units.