Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to
.
In a 45-45-90 triangle, the hypotenuse is equal to
this means in order to find missing side length a, we have to multiply
this will give us 4
so the missing side lengths are,
and 
The answer is -10
hope that helps
For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution
A² = b² + c²
30² = 18² + 24²
18, 24, 30