Chapter 12.1, Problem 6E

To determine

To find: the classification of triangle by its given side and measure the angle.

Answer to Problem 6E

The given diagram is scalene triangle acute triangle.

Explanation of Solution

Given:

  

Concept used:

Sum of the three angles of triangle is always ${180}^0$ .

Scalene triangles are those triangles which has all side with different length.

Acute triangles are those triangles which has one angle acute less than ${90}^0$ .

Calculation:

Here from the given diagram its clearly sure that the triangle is either scalene triangle or it can be acute triangle.

Scalene triangles are those triangles which has all side with different length so, the diagram consist of all side with different length.

Acute triangles are those triangles which has one angle acute less than ${90}^0$ so, the diagram consist of all three angle less than ${90}^0$ which mean all angles are acute angle.

Hence, the given diagram is scalene triangle acute triangle.