Find all the angles of the isosceles triangle using the data in the figure.
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Find all the angles of the isosceles triangle using the data in the figure.
In an isosceles triangle, the base angles are equal to each other, meaning:
Since we are given angle A, we can calculate the base angles as follows:
Let's remember that the sum of angles in a triangle is equal to 180 degrees.
In a right triangle, the side opposite the right angle is called....?
Look at the diagram carefully! The vertex angle is at the top of the triangle between the two equal sides. In this problem, angle A (50°) is clearly at the vertex position.
If 50° was a base angle, then both base angles would be 50°. The vertex angle would be: . Always check the diagram to see the angle's position!
Yes! An isosceles right triangle has a 90° vertex angle and two 45° base angles. It's still isosceles because two sides are equal.
Because the two base angles are equal and they must share the remaining degrees equally. Since , each base angle gets .
Isosceles: Two equal sides and two equal angles
Equilateral: All three sides equal and all angles are 60°
Every equilateral triangle is also isosceles, but not every isosceles triangle is equilateral!
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