In a right-angled triangle ABC, the angle is c = 90 b = 60 BC = 6cm. What is AB.
April 30, 2021 | education
| In a right-angled triangle ABC:
Angle c = 90 °;
Angle b = 60 °;
BC = 6 cm.
Find AB.
AB is the hypotenuse of triangle ABC.
In order to find the hypotenuse AB of the triangle ABC, we use the formula:
cos b = BC / AB.
Hence, AB = BC / cos b;
Substitute the known values into the formula and find the hypotenuse AB.
AB = 6 cm / cos 60 ° = 6 cm / (1/2) = 6 cm * 2/1 = 6 * 2 cm = 12 cm;
Answer: AB = 12 cm.
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