Question

The hypotenuse of a right triangle is 28 units and the length of one of the legs is 14 units. What is the length of the other leg in the simplest radical form?

Answer 1

Answer:

The length of the other leg in the simplest radical form is $14\sqrt{3}$

Step-by-step explanation:

Let's assume

hypotenuse of a right triangle is 'c'

one of the leg is 'a'

other leg is 'b'

we are given

The hypotenuse of a right triangle is 28 units

so, $c=28$

the length of one of the legs is 14 units

so,$a=14$

now, we can use Pythagoras theorem

$c^2=a^2+b^2$

now, we can plug values

$28^2=14^2+b^2$

now, we can solve for b

$b^2=588$

$b=\sqrt{588}$

$b=14\sqrt{3}$