A triangle with two congruent sides and congruent base angles is termed as:-
A.Equilateral Triangle
B.Isosceles Triangle
C.Scalene Triangle
D.None of these
Answer
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Hint:Before solving this question, one must know what the Equilateral triangle, Isosceles triangle, and Scalene triangle are.
EQUILATERAL TRIANGLE: An equilateral triangle is a triangle in which all three sides are equal.
ISOSCELES TRIANGLE: An isosceles triangle is a triangle that has two sides of equal length.
SCALENE TRIANGLE: A scalene triangle is a triangle that has three sides with unequal lengths.
Complete step by step answer:
EQUILATERAL TRIANGLE: This cannot be an equilateral triangle because, as explained in the hint above, an equilateral triangle has all sides equal.
ISOSCELES TRIANGLE: This is an isosceles triangle because an isosceles triangle has just two sides equal and, an isosceles triangle has two equal angles, which are called Base Angles.
SCALENE: This cannot be a scalene triangle because a scalene triangle does not has any equal sides.
Therefore, the answer of this question is (b) Isosceles Triangle.
Note:The two equal angles of the isosceles triangle are called the base angles and the third unequal angle is called the vertex angle. Also, the two unequal sides of the triangle are called the legs and the third, unequal side is called the base.
Here is a diagram of the properties of an Isosceles Triangle:-
EQUILATERAL TRIANGLE: An equilateral triangle is a triangle in which all three sides are equal.
ISOSCELES TRIANGLE: An isosceles triangle is a triangle that has two sides of equal length.
SCALENE TRIANGLE: A scalene triangle is a triangle that has three sides with unequal lengths.
Complete step by step answer:
EQUILATERAL TRIANGLE: This cannot be an equilateral triangle because, as explained in the hint above, an equilateral triangle has all sides equal.
ISOSCELES TRIANGLE: This is an isosceles triangle because an isosceles triangle has just two sides equal and, an isosceles triangle has two equal angles, which are called Base Angles.
SCALENE: This cannot be a scalene triangle because a scalene triangle does not has any equal sides.
Therefore, the answer of this question is (b) Isosceles Triangle.
Note:The two equal angles of the isosceles triangle are called the base angles and the third unequal angle is called the vertex angle. Also, the two unequal sides of the triangle are called the legs and the third, unequal side is called the base.
Here is a diagram of the properties of an Isosceles Triangle:-
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