Since angle A is a right angle, we can label it as 90 degrees.
Since angle B is 45 degrees and angle A is a right angle, we can conclude that angle C is also 45 degrees. This is because the sum of angles in a triangle is always 180 degrees. Therefore, 90 + 45 + 45 = 180 degrees.
In triangle ABC, angles B and C are equal, meaning that sides BC and AC are also equal. Let's label the length of BC as x.
Using the properties of a right triangle with a 45-degree angle, we know that the sides opposite the 45-degree angles are equal. Therefore, side AB is also equal to x.
Now, let's use the Pythagorean theorem to find the length of side BC.
Using the theorem, we have:
AC^2 = AB^2 + BC^2
Substituting the values we have:
x^2 = x^2 + BC^2
Simplifying:
x^2 - x^2 = BC^2
0 = BC^2
Therefore, BC = 0.
In the given information, there seems to be some contradiction or mistake, as it is not possible for side BC to have a length of zero.
Part A. In triangle ABC angle A is a right angle and m angle B =45 degrees.
Part B. what is the length of BC? If your answer is not an integer, leave it in simplest radical form.
1 answer
1 answer