Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse? check all that apply.
a. 2: 3 sqrt 3
b. sqrt 2: sqrt 3
c. sqrt 3: 2
d: 1: sqrt 2
e: 3: 1 sqrt 2
f: 2: 2 sqrt 2

 The answer is (C)

Step-by-step explanation: As given in the question, a right-angled triangle ABC is drawn in the attached figure, where

∠A = 30°, ∠B = 90° and ∠C = 60°.

The longest leg is AB, AC is the hypotenuse and BC is the shortest leg.

To find :- AB : AC.

We have from the right-angled triangle ABC,

Thus, the correct option is (C).

/3 : 2

3 : 2/3

Step-by-step explanation:

AP3X

POG

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.