An isosceles triangle has one angle of 96º. What are the sizes of the other two angles?
Solution:Step 1: Since it is an isosceles triangle it will have two equal angles. The given 96º angle cannot be one of the equal pair because a triangle cannot have two obtuse angles.
Step 2: Let x be one of
the two equal angles. The sum of all the angles in any triangle
x + x + 96° = 180° ⇒ 2x = 84° ⇒ x = 42°
Answer: The sizes of the other two angles are 42° each.Equilateral Triangles
An equilateral triangle can be considered a special case of isosceles triangle, having all three sides equal.
A scalene triangle has no sides of equal length. Its angles are also all different in size.
The shortest side would be opposite the smallest angle. The longest side will be biggest angle.
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