Answer:
a = 8
b = 4
![√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iou2g3ap7sultma1yhgppxh5ctlpt7kphm.png)
Explanation:
I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse =
times the length of a leg (one of the sides of the triangle).
So, applying this to your problem, if 4
if one of the legs of the triangle, the other leg, which is b , would be the same length.
b = 4
![√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iou2g3ap7sultma1yhgppxh5ctlpt7kphm.png)
To solve for a, you would have to multiply the leg by
.
a = 4
x
![√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iou2g3ap7sultma1yhgppxh5ctlpt7kphm.png)
I would separate the 4 and the
.
a = 4 x
x
![√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iou2g3ap7sultma1yhgppxh5ctlpt7kphm.png)
a = 4 x
![√(2 *2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/p0d6fj159e8czmbfahhoh74o65awhhjp8t.png)
a = 4 x
a = 4 x 2
a= 8