Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 2?

Answer 1

`sqrt13 ≈ 3.606`

Explanation:

Use `color(blue)" Pythagoras' theorem "`

which states ' the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides'

If h represents the hypotenuse and a and b the other 2 sides

then this can be written as an equation : `h^2 = a^2+b^2`

in this question let a = 3 and b = 2

hence `h^2 = 3^2 + 2^2 = 9 + 4 = 13`

since `h^2 = 13 " then " h = sqrt13 ≈ 3.606`

Answer 2

Hypotenuse is `3.606`.

Explanation:

Length of the hypotenuse of a right triangle is given by `h^2=a^2+b^2` where `a` and `b` are two other sides,

As these are of lengths `3` and `2`, hypotenuse is given by

`h^2=3^2+2^2=9+4=13`

Hence hypotenuse is `sqrt13=3.606`