Answer:a) x = 12, y = 24Step-by-step explanation:Let the leftmost triangle be called AAnd 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 √2To find x:hypotenuse = leg * √212√2 = x * √212 = xx = 12Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuseSince we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for ySolve for y:hypotenuse = 2 * leg(opposite to 30°)y = 2 * xy = 2 * 12y = 24x = 12, y = 24-Chetan K