Question

What is the value of y?

Answer 1

Answer: 6.3^(1/2).

Step-by-step explanation: Using the pythagorean theorem in the triangle MNT, we can write: 6^2 + y^2 = 12^2 ;

36 + y^2 = 144; y^2 = 144 - 36 ; y^2 = 108 ; y = (36.3)^(1/2) = 6.3^(1/2).

Answer 2

The answer to your question is: b = 6√3

Explanation:

Here we have a right triangle, so we can use the Pythagorean theorem to solve it.

c² = a² + b²

c = 9 + 3 = 12 units

a = 6 units

b = ?

Substitution

12² = 6² + b²

b² = 144 - 36

b² = 108

b = 10.4 units or we need to find the prime factors of 108

108 2

54 2

27 3

9 3

3 3

1 108 = 2² 3²3

b = √ 2² 3²3

b = 6√3