To determine if you can use the Pythagorean theorem, you need to identify the type of triangle you are dealing with. The Pythagorean theorem is applicable only to right triangles, which have one angle measuring exactly 90 degrees.
In your case, you have a triangle with angles of 62 degrees and 28 degrees. To find the third angle, you can use the fact that the sum of the angles in any triangle is always 180 degrees:
\[ \text{Third angle} = 180^\circ - (62^\circ + 28^\circ) = 180^\circ - 90^\circ = 90^\circ \]
Since the third angle is 90 degrees, this triangle is a right triangle. Therefore, yes, you can use the Pythagorean theorem for this triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (\(c\)) is equal to the sum of the squares of the lengths of the other two sides (\(a\) and \(b\)):
\[ c^2 = a^2 + b^2 \]