Question

Hey! So I really need help with my trig homework, and yes I have tried for the life of me to understand it but I just don't!!! I need to determine if the sides of these triangles are acute, obtuse, or a right triangle and I don't get it!!! Help!!
8. Sides have lengths 6 in., 7 in., and 8 in.
9. Sides have lengths 36 ft., 39 ft., and 15 ft.
10. Sides have lengths 9 m, 33 m and 41 m
Please help!! And I'm not trying to cheat at all.

Answer 1

ok whats wrong

Answer 2

`Sides have lengths 6 in., 7 in., and 8 in.1`

take the longest side and square it :
8^2 = 64

take the sum of squares of smaller sides :
6^2 + 7^2 = 85


since 64 is less than 85, the triangle is ACUTE

Answer 3

Thank you!!

Answer 4

In general, a triangle with sides : "a, b, c" is acute if `c^2 < a^2 + b^2`
where "c" is the longest side

Answer 5

it is obtuse if `c^2 > a^2 + b^2`

it is right if `c^2 = a^2 + b^2`

Answer 6

see if u can work next problem on ur own

Answer 7

Okay so it would be:
39^2= 1521
36^2+15^2=1521 so it would be a right triangle. Right?

Answer 8

I think I've got it!!! Thank you!!!!!!!

Answer 9

Yes! good job!