Question

In triangle abc,c is a right angle and cd is the altitude to the measures of angles of cbd and cad if a= α

Answer 1

In triangle ABC with C as the right angle and CD as the altitude, the measures of angles CBD and CAD are equal. The lengths of BC and AC can be found using the Pythagorean theorem.

Step-by-step explanation:

In triangle ABC, if C is a right angle and CD is the altitude, then the measures of angles CBD and CAD are equal. Let's assume the measure of angle CAD is α.

Since triangle CBCD is a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse BC. Therefore, BC = √(AB² + AC²).

Also, since triangle ADC is a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse AC. Therefore, AC = √(AD² + CD²).