Questions: En los siguientes triángulos rectángulos, hallar las longitudes exactas de los lados d y c. De ser necesario, escribir las respuestas en forma radical simplificada.

Solution Steps

The first triangle is a 30-60-90 triangle. The side opposite the 30° angle is half the length of the hypotenuse. Since the hypotenuse is 6, the side opposite the 30° angle, d, is 6/2 = 3.

The second triangle is a 45-45-90 triangle. In a 45-45-90 triangle, the two legs are equal in length, and the hypotenuse is √2 times the length of a leg. Since one leg is 4, the other leg, c, is also 4.

Final Answer