In a right-angled triangle ABC, angle C = 90, the height CD is drawn. prove that triangle ACD
| June 10, 2021 | education
In a right-angled triangle ABC, angle C = 90, the height CD is drawn. prove that triangle ACD is similar to triangle ABC.
Because by condition СD – height, then <CDA = <CDB = 90 (degrees) – by definition of height.
Consider triangles ADC and ACB:
1) <CDA = <ACB = 90 (degrees)
2) <A is the total angle
Then triangles ADC and ACB are similar in the first similarity feature (in two equal angles).
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