triangle
one side is 5 feet
one side is 1 foot
1 corner has 90 degrees.
how many degrees do the other corners have and how long is the other side?
Please learn the difference between geography and geometry.
The other side is either √24 or √26
One of the other angles is either
arctan(1/5) or arcsin(1/5)
and the 3rd angle is its complement.
So, figure out what's correct, and forge ahead ...
To determine the number of degrees in the other corners of the triangle and the length of the remaining side, we can use the properties of triangles.
1. The sum of the interior angles of a triangle is always 180 degrees. Therefore, if one corner (∠A) has a 90-degree angle, the other two corners (∠B and ∠C) must add up to 90 degrees as well.
∠A + ∠B + ∠C = 180 degrees
90 degrees + ∠B + ∠C = 180 degrees
∠B + ∠C = 180 degrees - 90 degrees
∠B + ∠C = 90 degrees
2. Since one side of the triangle (AB) is 5 feet, and another side (AC) is 1 foot, we can determine the remaining side's length (BC) using the Pythagorean theorem, as the triangle appears to be a right-angled triangle:
BC^2 = AB^2 + AC^2
BC^2 = 5^2 + 1^2
BC^2 = 25 + 1
BC^2 = 26
BC ≈ √26 feet
Therefore, the other corners (∠B and ∠C) of the triangle are acute angles, and the length of the remaining side (∠BC) is approximately √26 feet. The exact values of ∠B and ∠C can be calculated using trigonometric functions such as sine, cosine, or tangent if needed.