One of the corners of an isosceles triangle is 50 degrees. How many solutions can

| September 9, 2021 | education

One of the corners of an isosceles triangle is 50 degrees. How many solutions can a given problem have if you need to find the two remaining corners.

One of the angles of an isosceles triangle is known. The task is to find the remaining corners of the triangle.

There will be two solutions. Initially, there should be three of them, but two of them are completely identical.

Two solutions – one of the angles at the base of the triangle is known or one of the angles at the apex is known with equal sides.

Let’s say you know the angle at the base of the triangle.

If it is 50 degrees, then the second angle at the base will be 50 degrees. It remains only to subtract the sum of the angles from 180 ° and get the third angle. So, the angles of the triangle are 50 °, 50 °, 80 °.

Let’s say the angle opposite the base is known. Then the other two angles will be equal to each other, their value will be equal to:

(180 ° – 50 °): 2 = 65 °.



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