One of the angles of an isosceles triangle is 63 °. Find all the corners of a given triangle.
June 10, 2021 | education
| The problem can have 2 solutions:
1) It is known that an isosceles triangle has equal angles at the base, which means that we will find the sum of the angles at the base:
63 ° + 63 ° = 126 °
Let’s find the last angle if it is known that the sum of all angles in a triangle is 180 °:
180 ° – 126 ° = 54 °
Answer: 63 °; 63 °; 54 °.
2) If 63 ° is equal to the angle of the apex of the triangle.
Find the sum of the remaining angles:
180 ° – 63 ° = 117 °
Find 1 angle at the base:
117 °: 2 = 58.5 °
Answer: 58.5 °; 58.5 °; 63 °.
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