Question

List the angles of triangle PQR from smallest to largest

Answer 1

`P<Q<R`

Explanation:

In geometry, the length of a side in a triangle depends on the angle in front, that is, the larger angle is in front of the larget side of the triangle, and the smallest angle is in front of the smallest side.

For example, in this case, we have

`PQ>PR>QR`, because according to their length

`9.1>8.8>7.5`

Now, that means, it can be applied the same order to their corresponding angles (in front of each side)

`\angle R > \angle Q > \angle P`

Because, angle R is in front of side PQ which is the largest.

Angle Q is in front of side PR which is the middle one.

And, angle P is in front of the smallest side QR.

Therefore, the angles listed from smallest to largest

`P<Q<R`

Answer 2

So in order for us to know which angle is the smallest and which one is the largest, take note that the largest angle is the opposite of the longest side, and the smallest angle is the opposite of the shortest side. So base on the given figure above, the smallest angle would be angle p, then next is angle q and the largest, therefore would be angle r. Hope this answer helps. So it is p,q,r.