Question

Can someone help me with this? Thanks! :)

Answer 1

`\huge\boxed{c)\ 15,\ 36,\ 39}`

Explanation:

`\text{Let}\ a\leq b\leq c\ \text{the sides of the triangle}.\\\\\text{If}\ a^2+b^2=c^2\ \text{then a triangle is a right triangle}\\\\\text{If}\ a^2+b^2<c^2\ \text{then a triangle is a obtuse triangle}\\\\\text{If}\ a^2+b^2>c^2\ \text{then a triangle is a acute triangle}`

`a)\ 28,\ 45,\ 53\\\\28^2+45^2=784+2025=3593\\53^2=2809\\\\28^2+45^2>53^2\to\text{acute triangle}\\\\b)\ 17,\ 22,\ 29\\\\17^2+22^2=289+484=773\\29^2=841\\\\17^2+22^2<29^2\to\text{obtuse triangle}\\\\c)\ 15,\ 36\ 39\\\\15^2+36^2=225+1296=1521\\39^2=1521\\\\15^2+36^2=39^2\to\text{right triangle}`