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In the given figure, if OA =5cm, AB =8 cm and OC LAB, find CD. |
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Answer» Answer: 2cm Step-by-step explanation: AB = 8 cm as OC perpendicular to AB, we KNOW that when a perpendicular is drawn from the center to a CORD it bisects the chord So Now we have AC = 4 cm Using Pythagoras theorem in triangle AOC FIND the the length of OC OA² = OC² + AC² 5² = OC² + 4² 5² - 4² = OC² √25-16 = OC √9 = OC 3 = 0C Now OA and OD re the RADII of the same circle hence equal AO = OD And OD = OC + CD AO = OD = OC + CD 5 = 3 + CD 5 - 3 = CD 2 = CD |
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