Answer:
Y=17
X=17√2
Step-by-step explanation:
1) This triangle is a right isosceles triangle. You know this because it is marked in that way.
2) In an isosceles triangle, the legs are congruent. That means, if one leg is x, then the other leg will also be x.
- In this case, (y) will be 17 because the other leg is also 17.
3) According to pythagorean theorem, a^2 + b^2 = c^2. The hypotenuse is directly across the 90º angle. So, in this case, knowing that both legs are 17,
you can write 17^2 + 17^2 = c^2
(c = x) because i'm just substituting the values.
So now, solve it. You will get
289 + 289 = c^2
c^2 = 578
now just square root 578.
(remember c = x)
You get that x = √578 = 17√2
