Question

Find the length of c

Question 1 options:

A.4 √ = 2

B.8√

C.16√ = 4


D.32√= 42√

E.none of the above

Answer 1

C is
`√(8)` =
`2√(2\\)`. The answer is B.

Explanation:

An isoceles right triangle is considered a special right triangle. The sides of the isoceles triangle are always equal to each other. So in this case, if one side of the triangle is 2, so is the other. To find out what the hypotenuse is, c, the special rule here also applies. The hypotenuse is always
`s√(2)`. The simple way is to just substitute 2 for s. But the mathematical way is shown in the other image below using the pythagorean theorem.