Find the lengths of the missing sides in the triangle. Round to the nearest tenth. The diagram is not to scale.

Question

13 = Base 1
x = Base 2
y = leg
45 degrees upper angle
includes a right angle

Answer 1

Using trigonometry, we can find the lengths of the missing sides in the triangle.

First, we can find the length of the leg (y):
sin(45 degrees) = y / 13
y = 13 * sin(45 degrees)
y ≈ 9.2 (rounded to the nearest tenth)

Next, we can find the length of Base 2 (x):
cos(45 degrees) = x / 13
x = 13 * cos(45 degrees)
x ≈ 9.2 (rounded to the nearest tenth)

Therefore, the missing side lengths are:
Base 2 ≈ 9.2
Leg ≈ 9.2