Question

If m∠j=91 m∠l=16 and m∠k=73 list the sides of ∆JLK in order from smallest to largest

Answer 1

ikj

Explanation:

In a triangle:

• The shortest side is opposite the smallest angle.
• The longest side is opposite the biggest angle.

When labeling angles and sides of triangles, it is convention to label the side opposite an angle with the same letter but in lower case.

Therefore in ∆JLK:

• Side j is opposite angle J.
• Side l is opposite angle L.
• Side k is opposite angle K.

As 16 < 73 < 91

⇒ m∠I < m∠K < m∠J

As the angles of ∆JLK in order from smallest to largest are IKJ, then the sides of ∆JLK in order from smallest to largest are ikj.