Answer:
a) x = 12, y = 24
Step-by-step explanation:
Let the leftmost triangle be called A
And the rightmost triangle be called B
Triangle A) Recall that the hypotenuse in a right isosceles triangle is the length of a leg multiplied by √2
To find x:
- hypotenuse = leg * √2
- 12√2 = x * √2
- 12 = x
- x = 12
Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuse
Since we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for y
Solve for y:
- hypotenuse = 2 * leg(opposite to 30°)
- y = 2 * x
- y = 2 * 12
- y = 24
x = 12, y = 24
-Chetan K
