## Flapdragon 3 years ago If a triangle has side lengths 16, 11, and 10, what kind of triangle is it and how do you find that out?

1. alexandercpark

what you are hoping for is that it is a right triangle. Use Pythagoras formula. \[c^2 = a^2+ b^2\] where c is the longest side. IF you get a true statement out of this then your triangle is a right triangle. \[16^2 = 10^2 + 11 ^2\]? \[256 = 100 + 121\]? \[256 = 221\]? no, 256 does not equal 221, so in this case it is not a right triangle

2. alexandercpark

if \[c^2 < a^2 + b^2\] then you have an acute triangle, meaning that all the angles are smaller than 90 degrees. if \[c^2 > a^2 + b^2\] then you have an obtuse triangle, meaning that 1 angle of the triangle is greater than 90 degrees. in this case, \[c^2 > a^2 + b^2\] so you have an obtuse triangle

3. Flapdragon

Thank you! c:

4. alexandercpark

anytime :)

5. triangleguru

Obtuse scalene triangle. See picture and other properties of this triangle: http://www.triangle-calculator.com/?what=sss&a=16&b=11&c=10&submit=Solve