Find x and y.

Right triangle a=10, b=x, c=y, 45 degree angle

Find x and y.

Right triangle a=10, b=x, c=y, 45 degree angle

1 answer

Using the triangle angles and the fact that it is a right triangle, we can determine that the side opposite the 45 degree angle is 10√2 (since it is equal to 10 times the square root of 2).

To find side b (x), we use the formula sin(45) = b/10√2. Solving for b, we get b = 10/√2 = 5√2.

To find side c (y), we use the Pythagorean theorem: y^2 = 10^2 + (5√2)^2.
y^2 = 100 + 50
y^2 = 150
y = 5√6.

Therefore, x = 5√2 and y = 5√6.