Question

Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q

Answer 1

RQ, PQ and RP.

Explanation:

Answer 2

RQ, PQ and RP.

Explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

`\angle QRP=40^\circ`

`\angle RPQ=105^\circ`

`\angle PQR=35^\circ`

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

`\angle RPQ>\angle QRP>\angle PQR`

`RQ>QP>PR`

`RQ>PQ>RP`

Therefore, the order from longest to shortest is RQ, PQ and RP.