Answer:
a = 28 / √2
Step-by-step explanation:
Isosceles triangle therefor a = b
use pythagorean theorem
a² + a² = c²
2a² = 28²
a² = 28² / 2
Take the square root of both sides
a = 28 / √2
The ratio of the areas:
225 : 36 = 15² : 6²
The ratio of their corresponding sides:
15 : 6 = 5 : 2
Identity property of addition