List the side lengths of △STU in order from smallest to largest, given that m∠U=45°, m∠S=80°, and m∠T=55°.
Question
List the side lengths of △STU in order from smallest to largest, given that m∠U=45°, m∠S=80°, and m∠T=55°.
Solution
In a triangle, the size of an angle is directly proportional to the length of its opposite side. This means that the larger the angle, the longer the side opposite it.
Given that m∠U=45°, m∠T=55°, and m∠S=80°, we can say that:
- The smallest angle is ∠U, so the side opposite it, which is ST, is the smallest side.
- The next smallest angle is ∠T, so the side opposite it, which is SU, is the next smallest side.
- The largest angle is ∠S, so the side opposite it, which is TU, is the largest side.
So, the side lengths of △STU in order from smallest to largest are ST, SU, and TU.
Similar Questions
List the side lengths of △GHI in order from smallest to largest, given that m∠G=14s+17°, m∠H=70s–37°, and m∠I=89s+27°.
List the side lengths of △IJK in order from smallest to largest, given that m∠J=97°, m∠K=37°, and m∠I=46°.
Find the largest side of △CDE, given that m∠C=68°, m∠D=66°, and m∠E=46°.
Find the smallest side of △BCD, given that m∠D=112°, m∠C=37°, and m∠B=31°.
In the figure below, =m∠ABD92°, and m∠1 is 38° more than m∠2. Find m∠2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.