Question

suppose a triangle has sides a,b, and c, and that a²+b²>c². Let theta be the measure of the angle opposite the side of length of C​

Answer 1

The triangle is not a right triangle

`(\theta)` is an acute angle

`cos(\theta) > 0`

Explanation:

we know that

If a²+b²>c²

then

Is an acute triangle

therefore

angle theta must be less than 90 degrees

Hence

The triangle is not a right triangle

`cos(\theta) > 0`

`(\theta)` ---> is an acute angle