Question

Please help me!! Iv been stuck!

Answer 1

Answer:

$7$

Step-by-step explanation:

Because the leftmost triangle is a 45-45-90 isosceles right triangle, $a = b =\frac{7\sqrt2}{\sqrt2} = 7$

The rightmost triangle is a 30-60-90 triangle, and the side lengths are in the proportion $1:\sqrt3:2$ from shortest to longest. Therefore, $c = 7\cdot\frac{\sqrt3}{1} = 7\sqrt{3} \implies \boxed{7}$