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A triangle has two 52° angles and one 76° angle. What kind of triangle is it?

Sagot :

bowmaian000

Answer:

Isosceles triangle

Step-by-step explanation:

There are three different kinds of triangle: equilateral, isosceles, and scalene.

-Equilateral triangles are triangles where all 3 sides and angles are the same. (First image)

-Isosceles triangles are triangles where 2 of the sides and angles are the same, while the third side and angle is different. (Second image)

-Scalene triangles are triangles where all 3 sides and angles are different. (Third image)

In the case of this triangle, two of the sides have the same 52 degree angle. They would also have the same side lengths, and thus be a isosceles triangle.

Hope this helps! :3

View image bowmaian000
View image bowmaian000
View image bowmaian000

Solution:

Since this triangle has two 52° angles, it means that this triangle has two equivalent angles.

Equilateral triangle:

An equilateral triangle has:

  • Three equal sides
  • Three equal angles

The triangle we are looking for must have two equal angles. Since equilateral triangles have three equal angles, the triangle we are looking for is not an equilateral triangle.

Isosceles triangle:

An isosceles triangle has:

  • Two equal sides
  • Two equal angles

The triangle we are looking for must have two equivalent angles. Since an isosceles triangle must have two equivalent angles, the triangle we are looking for is an isosceles triangle.

Scalene triangle:

A scalene triangle has:

  • All different sides
  • All different angles

The triangle we are looking for must have two equivalent angles. Since a scalene triangle must have all different angles, the triangle we are looking for is not a scalene triangle.

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