Question

Help me please, Find a, b, and c.

Answer 1

Answer:It’s C

Step-by-step explanation:

Answer 2

Answer:

a = $6*\sqrt{3}$

b = 12

c = $6\sqrt{2}$

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths $1-1-\sqrt{2}$.

A 30-60-90 right triangle has side lengths $1 - \sqrt{3} -2$.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length $\sqrt{3}$. Therefore, $a = 6*\sqrt{3}$.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to $\sqrt{2}$. This means $\sqrt{2}$ was multiplied by $12 = \sqrt{2} * \sqrt{72}$. This means that side c is $\sqrt{72}=6\sqrt{2}$.