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

Question

asked Sep 3, 2019 210k views

2 Answers

Cmd · Answer 1 · 2019-09-08T20:15:14+0000

Answer:

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
.

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.