Question

The lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?

Answer 1

take the two smaller sides, call them a and b. call the longest side c.

if a^2 + b2 = c^2 you have a right triangle

if < c^2 it's acute

if > c^2 it's obtuse

in addition, if you can find a,b,c such that

a=b=c it's equilateral

a=b≠c it's isosceles

a≠b≠c it's scalene

plug in your numbers and make your choice.

Explanation:

Answer 2

acute triangle

Explanation:

because (12)^2 = 144 while
`8^(2)` +
`10^(2)` = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle