One of the angles of a right-angled triangle ABC is 60 degrees and the difference between the hypotenuse
| November 29, 2020 | education
One of the angles of a right-angled triangle ABC is 60 degrees and the difference between the hypotenuse and the smaller leg is 15 cm. Find the length of the hypotenuse.
∆ABC angle C = 90 °; angle B = 60 ° 180-90-60 = 30 ° – angle A Hypotenuse AB – CB = 15 By the property of rectangular ∆, the leg lying opposite an angle of 30 ° is half the hypotenuse => AB = 15 * 2 = 30cm
Answer: 30cm
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