230k views
2 votes
Question in pic. please help!

Question in pic. please help!-example-1
User Enrico Ros
by
4.8k points

1 Answer

7 votes

Answer:

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Explanation:

We need to place the sides of triangle DE, DF and EF from longest to shortest.

The triangle has longest side that is opposite to the largest angle

We know two angles < E= 61° , <F= 59° we need to find <D

Sum of angles of triangle = 180°

So, 61°+59°+<D=180°

120°+<D=180°

<D=180°-120°

<D=60°

So, the largest angle is <E= 61°

The longest side must be opposite to <E so, the side is DF

The second largest angle is <D=60° so, second side will be EF

The smallest angle is <F=59° so, third (shortest) side will be DE

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

User Hackerman
by
5.3k points