In a 45-45-90 triangle, the two legs are congruent (meaning they have the same length) and the hypotenuse is sqrt(2) times the length of one of the legs.
In a 45-45-90 triangle, the two legs are congruent (meaning they have the same length) and the hypotenuse is sqrt(2) times the length of one of the legs.
Hypotenuse = sqrt(2) * Leg
Substituting the given values, we have:
Hypotenuse = sqrt(2) * 5 cm
To find the approximate length of the hypotenuse, we can calculate:
Hypotenuse ≈ 5 cm * 1.414 (approximately)
Hypotenuse ≈ 7.071 cm
Rounding to the nearest tenth, the length of the third side is approximately 7.1 cm. Therefore, the length of the third side is 7.1 cm (rounded to the nearest tenth).