Answer:
Explanation:
Assuming the triangle is a right triangle (see the attached diagram), we can use the 45-45-90 triangle theorem to solve for x and y.
The 45-45-90 triangle theorem describes the special relationship between the angles and sides of an isosceles right triangle. In a 45-45-90 triangle, the two legs are congruent (of equal length), and the angles opposite these legs are each 45°, while the angle opposite the hypotenuse is 90°.
The theorem states that the ratio of the lengths of each leg to the length of the hypotenuse is 1 : 1 : √2. In other words, the hypotenuse is √2 times the length of a leg.
Therefore, as the two legs are congruent, and the length of one of the legs is denoted as √3, then the other leg (y) is also √3:
The hypotenuse (x) is √2 times the length of a leg, so:
