Question

Tell if a triangle can have side lengths of 7, 9, and 11. If so, classify the triangle as acute, obtuse, or right. I know that it can make a triangle, however I am not sure on what type of triangle. I cannot remember how to figure that out. Please help=)

Answer 1

based on side lengths we can figure out if its scalene/isosceles/equilateral. but how to figure out if its acute/obtuse or right hmm ? looks tricky..

Answer 2

OK, here it is :-

pick the longest side

Answer 3

square it and see if it equals sum of squares of other two sides

Answer 4

7, 9, 11

longest side = 11^2 = 121
sum of squares of other two sides = 7^2 + 9^2 = 130

Answer 5

since 121 < 130

that is, 11^2 < 7^2 + 9^2, the triangle is an acute triangle

Answer 6

Thank you=)

Answer 7

if you get it >, then it wud be obtuse,

if you get it =, then it wud be right.

since we got <, in our present problem, it is acute.

Answer 8

np, yw :)