Question

Triangles plz help me

Answer 1

Given:

In
`\Delta ACR, AC=19, CR=13, AR=12`.

To find:

The list of angles in order from least to greatest.

Solution:

In a triangle, the sides of triangles are completely depend on the interior of the triangle. In the triangle, the longest side has the largest opposite angle and the shortest side has the smallest opposite angle.

Arrange the sides of the triangle ACR in ascending order.

`12<13<19`

`AR<CR<AC`

It means the order of the opposite angles to sides is:

`\angle C<\angle A<\angle R`

Therefore, the list of angles in order from least to greatest is
`\angle C,\angle A,\angle R`.