For 2, let be a triangle with side lengths and area Suppose that and that is an acute

Chapter 1, Problem 17

(choose chapter or problem)

For  \(i=1,2\), let  \(T_{i}\)  be a triangle with side lengths  \(a_{i}, b_{i}, c_{i}\),  and area  \(A_{i}\). Suppose that  \(a_{1} \leq a_{2}, b_{1} \leq b_{2}, c_{1} \leq c_{2}\),  and that  \(T_{2}\)  is an acute triangle. Does it follow that  \(A_{1} \leq A_{2}\) ?

Text Transcription:

i = 1, 2

T_{i}

a_{i}, b_{i}, c_{i} 

A_{i} 

a_{1} leq a_{2}, b_{1} \leq b_{2}, c_{1} \leq c_{2}

T_{2}

A_{1} leq A_{2}