Given: ΔABS, B = 90 °, external apex angle a = 120 °, AB = 7cm. Find the length of the hypotenuse.
| August 6, 2021 | education
The outer and inner angles of the triangle add up to 180 °. Find the angle A of this right-angled triangle:
∠ BAC = 180 ° – 120 ° = 60 °.
Find the angle of the BCA.
∠BCA = 90 ° – ∠ BAC = 90 ° – 60 ° = 30 °.
By the condition of the problem, the leg AB is known, which is located opposite an angle of 30 °.
Hypotenuse AC = 2 * AB = 2 * 7 = 14 (cm).
Answer: the length of the hypotenuse is 14 cm.
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