Question

2
Find the missing side of each triangle. Leave your answers in simplest radical form.

Answer 1

x = √10

Explanation:

C^2 = A^2 + B^2

4^2 = (√6)^2 + x^2

16 = 6 + x^2

x^2 = 10

x = √10

Answer 2

Answer: x = sqrt(10)

Explanation:

You can use the Pythagorean Theorem to solve:

a^2 + b^2 = c^2

You are given one leg (sqrt6) and the hypotenuse (4) and are asked to solve for the other leg (x). Plugging everything into the equation, you get:

(sqrt6)^2 + b^2 = (4)^2

Now, you can solve for b:

b^2 = 4^2 - (sqrt6)^2

b^2 = 16 - 6

b^2 = 10

b = sqrt(10)

In this case, b is equivalent to x, so your answer is x = sqrt(10).