Question

What is the length of the unknown leg in the right triangle?
22 mi
32 mi
104 mi
194 mi

Answer 1

Answer:

$\sqrt{32}$ mi

Step-by-step explanation:

For a right angled triangle, if the sides containing right angle is a and b then

hypotenuse to the triangle is given by hypotenuse = $\sqrt{a^2+b^2}$

______________________

In  the problem side containing right angle is 9 mi and a mi

while hypotenuse$\sqrt{113}$ mi.

Using formula for hypotenuse and using value 9 mi, a mi and $\sqrt{113}$ we have

$hypotenuse = \sqrt{a^2+b^2} \\=>\sqrt{113} = \sqrt{a^2+9^2} \\=>\sqrt{113} = \sqrt{a^2+81} / squaring/ both / side\\=> 113 = a^2+81\\=> 113 - 81 = a^2\\=> a^2 = 32\\=>a = \sqrt{32}$

Thus length of unknown leg is $\sqrt{32}$ mi.

Answer 2

Answer:

b

pls brainliest