Question

Consider this right triangle with given measures.

Answer 1

Answer:

The answer is actually 39

Step-by-step explanation:

on edge

Answer 2

Answer:

The answer is 6 feet.

Step-by-step 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.

$x^{2} +5^{2} =\sqrt{61} ^{2}$

=$x^{2} +25 =61$

=$x^{2} =61-25$

=$x^{2} =36$

=$x=6$ 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.