Question

What is the value of y?
3/3 units
63 units
973 units
123 units

Answer 1

Answer: answer is b.

Answer 2

The answer to your question is 6
`√(3)`

Explanation:

To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.

Medium triangle Large triangle

hypotenuse y 9 + 3

adjacent size 9 y

- Write the proportions

y/9 = (9 + 3)/y

-Solve for y

y² = 9(12)

y² = 108

y =
`√(108)`

-Find the prime factors of 108

108 2

54 2

27 3

9 3

3 3

1

then, 108 = 2² 3³

-Expressthe root as fractional exponents

2²/² 3²/² 3¹/²

-Simplification

2(3)(3)¹/²

-Result

6
`√(3)`