Question

If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...

a)11
b)11√3
c)11√2
d)5.5

Include work if possible :)

Answer 1

a) 11

Explanation:

Answer 2

c)11√2

Explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse =
`√(242)`

hypotenuse =
`11√(2)`