The angle at the apex of an isosceles triangle is 120 °. The height drawn to the side is 18 cm. Find the base of this triangle.
| December 16, 2020 | education
Vysoia forms two right-angled triangles.
If the angle above the base = 120 °, then the angles at the base = (180-120): 2 = 30 °.
Height is the leg of one of the right-angled triangles (no matter which one). It lies against a 30 ° angle. Hence, it is equal to half of the hypotenuse. 18 × 2 = 36cm.
Answer: 36cm.
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