Question

Consider this right triangle with given measures.

What is the length of the missing leg?
6 ft
7 ft
51ft SQUARE ROOT
86ft SQUARE ROOT

Answer 1

6 ft

Explanation:

Took the quiz and ur welcome lol

Answer 2

The answer is 6 feet.

Explanation:

Let's take a right angled triangle ABC which has 3 sides of lengths a, b and c. c is the longest side or the hypotenuse.

Then by Pythagoras rule:

`a^(2) +b^(2) =c^(2)`

Let's take the length of the unknown leg in the figure as
`x`.

Now lets substitute the values from the figure to above equation.

`x^(2) +5^(2) =√(61) ^(2)`

=
`x^(2) +25 =61`

=
`x^(2) =61-25`

=
`x^(2) =36`

=
`x=6` or
`x=-6`

Length of a triangle cannot be a negative value, so we can take +6 as the value of x.

So the answer is 6 feet.