6. Solve for the missing side length. Round to the nearest tenth.
A triangle has angle measures 45* 45* 90*. And Side Lengths x and 6
To find the missing side length, we can set up a ratio with the known side lengths in a 45-45-90 triangle.
In a 45-45-90 triangle, the side lengths are in the ratio 1:1:√2. This means that the two legs are equal in length and the hypotenuse is √2 times the length of the legs.
Given that one side length is 6, we can set up the following ratio:
6/x = 1/√2
Cross multiplying gives:
√2 * 6 = x
x = 6√2 ≈ 8.5
So, the missing side length, x, is approximately 8.5 units.