Question

Determine if the statement is always, sometimes, or never true:

An equilateral triangle is an acute triangle.

a. always
b. sometimes
c. never

A scalene triangle is a right triangle.

a. always
b. sometimes
c. never

Answer 1

For the first one, the answer is a.always, the angles of a equilateral triangle will always be 60 degrees each.
For the second one, the answer is b.sometimes
Sorry for my english, I am not a native.

Answer 2

1. a. Always.

2. Sometimes.

Step-by-step explanation:

We have been given two sentences. We are asked to choose the correct option for the given statements.

1. An equilateral triangle is an acute triangle.

We know that the measure of each angle of an equilateral triangle is equal that is 60 degrees.

Since each angle of an equilateral triangle is less than 90 degrees, therefore, an equilateral triangle is "always" an acute triangle.

2. A scalene triangle is a right triangle.

We know that a scalene triangle has all sides with different measure. A scalene triangle will be a right triangle, if its sides are Pythagorean triplets.

Therefore, a scalene triangle is "sometimes" a right triangle.