Question

In a ___________ triangle, the angles opposite the equal sides are equal.
$
  {\text{A}}{\text{. scalene}} \\
  {\text{B}}{\text{. equilateral}} \\
  {\text{C}}{\text{. acute}} \\
  {\text{D}}{\text{. isosceles}} \\
$

Answer 1

Hint: Define all the types of triangles along with special cases and check which triangle has opposite sides and equal angles.

Complete step by step answer:
As we know that a triangle has three sides and three angles.
Also as we know that there are three types of triangles which are equilateral, isosceles and scalene.
So equilateral triangle is the triangle which have all sides and angles same
Scalene triangles are those which have all the angles and sides of different measurement
And scalene triangles are those which have two equal side and angles
So, as we can see in the question,

In an isosceles triangle, the angles opposite the equal sides are equal.
But now we also know that every equilateral triangle is a special case of isosceles triangle
So, B and D are the correct answer.

Note: To solve these types of questions we must know the definitions of different types of triangles. The different types of triangles are Scalene, Equilateral and Isosceles. We should also be familiar with acute and obtuse triangles. Especially in this question most of the students will only give answers to be isosceles and forget about equilateral triangles.