In an isosceles triangle, find the side if the base is 6 cm and the base angle is 45 degrees.
| September 23, 2021 | education
Since in an isosceles triangle ABC the angle at the base is 45, then the angle ABC = 180 – 45 – 45 = 90, and then the triangle ABC is isosceles and right-angled.
Then AB ^ 2 + BC ^ 2 = AC ^ 2.
2 * AB ^ 2 = 6 ^ 2.
AB ^ 2 = 36/2 = 18.
AB = √18 = 3 * √2 cm.
Answer: The side is 3 * √2 cm.
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