you've got a 45-45-90 triangle there! In this special right triangle, the sides opposite the 45-degree angles are equal, so both sides labeled 'a' are the same length. The side opposite the 90-degree angle, known as the hypotenuse, is \( \sqrt{2} \) times longer than the other sides.
If one of the sides (a) is 7mm, then the other side (also labeled 'a') is also 7mm because it's an isosceles right triangle. The hypotenuse (the side across from the right angle) would be \( 7mm \times \sqrt{2} \).
So, the exact side lengths of the triangle are:
- Side 'a': 7mm
- Side 'a': 7mm
- Hypotenuse: \( 7mm \times \sqrt{2} \) or \( 7\sqrt{2} mm \)
