Assuming this is a right triangle (as the given angle suggests: two 45 degree angles, meaning the triangle has to be a 45-45-90 triangle), we can solve for the missing side length given one of the side lengths.
In a 45-45-90 triangle, the sides have a specific ratio: the lengths of the legs are equal, and the length of the hypotenuse is the leg length multiplied by \(\sqrt{2}\).
However, you need to provide one side length to solve for the other sides. Since no specific side length is given, but let's move forward with the assumption that the given angle (6 degrees) was a typographical error. If we take one of the legs as known as some 'x', we use the mentioned ratio.
If one leg is \( x \), then:
- The other leg is also \( x \) because it's a 45-45-90 triangle.
- The hypotenuse \( h \) would be \( x\sqrt{2} \).
If \( x = 6 \) (assuming hypothetical value for the leg provided to make the problem solveable):
- The other leg is \( 6 \).
- The hypotenuse \( h \) is \( 6\sqrt{2} \approx 6 \times 1.414 \approx 8.5 \).
So if one leg is 6, the other leg remains 6, and the hypotenuse will be approximately 8.5 when rounded to the nearest tenth.
You can insert appropriate values based on what is given or confirmed.
Solve for the missing side length. Round to the nearest tenth. 45 degree, 6 degrees, and 45 degrees
1 answer