In a triangle ABC with angle A=45 degrees, angle B=90 degrees, and angle C=45 degrees, we are given that AC = 9 and AB = y. Using the properties of a right triangle, we can determine that y = 9 and BC = x = 0 using the Pythagorean theorem.
In triangle ABC, angle A=45 degrees, angle B=90 degrees, and angle C=45 degrees.
We are given that AC = 9 and AB = y so we need to find the value of y and BC = x.
Since angle B is 90 degrees, we have a right triangle.
In a right triangle, the sum of the angles is always 90 degrees.
Therefore, angle A + angle B + angle C = 45 degrees + 90 degrees + 45 degrees = 180 degrees.
This satisfies the definition of a triangle, so the given information is valid.
The sum of the angles in a triangle is always 180 degrees.
Since angle B is 90 degrees and angles A and C are 45 degrees each, the triangle is an isosceles right triangle.
In an isosceles right triangle, the two legs are equal in length.
Therefore, y = AC = 9
To find the value of x, we can use the Pythagorean theorem.
In a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
So, y^2 + BC^2 = AC^2
Substituting the given values, 9^2 + x^2 = 9^2
81 + x^2 = 81
x^2 = 0
Therefore, x = 0
The probable question may be:
In triangle ABC, Angle A=45 degree, Angle b=90 degree, Angle C=45 degree. AB=y, AC=9, BC=x Find the value of x and y