My Homework Lesson 3 Classify Triangles Answers

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My Homework Lesson 3 Classify Triangles Answers In this lesson, we learned how to classify triangles by their sides and angles. Here are the answers to the homework questions.

A triangle with three equal sides is called an equilateral triangle. A triangle with two equal sides is called an isosceles triangle. A triangle with no equal sides is called a scalene triangle. A triangle with one right angle is called a right triangle. A triangle with one angle greater than 90 degrees is called an obtuse triangle. A triangle with all angles less than 90 degrees is called an acute triangle. The sum of the angles in any triangle is 180 degrees. To find the missing angle in a triangle, we can use the formula: missing angle = 180 - (angle 1 + angle 2). To classify a triangle by its sides and angles, we can use the following steps:

Measure or find the length of each side. Compare the lengths of the sides and determine if they are equal or not. If all three sides are equal, the triangle is equilateral. If two sides are equal, the triangle is isosceles. If no sides are equal, the triangle is scalene. Measure or find the measure of each angle. Compare the angles and determine if they are right, obtuse, or acute. If one angle is 90 degrees, the triangle is right. If one angle is greater than 90 degrees, the triangle is obtuse. If all angles are less than 90 degrees, the triangle is acute.

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Let's look at some examples of how to classify triangles by their sides and angles. For each triangle, we will use the steps we learned in the previous paragraph. Example 1: Classify the triangle below by its sides and angles.

Solution: To classify this triangle by its sides, we compare the lengths of the sides. We see that none of the sides are equal, so this is a scalene triangle. To classify this triangle by its angles, we compare the measures of the angles. We see that all of the angles are less than 90 degrees, so this is an acute triangle. Therefore, this triangle is an acute scalene triangle. Example 2: Classify the triangle below by its sides and angles.

Solution: To classify this triangle by its sides, we compare the lengths of the sides. We see that two of the sides are equal, so this is an isosceles triangle. To classify this triangle by its angles, we compare the measures of the angles. We see that one of the angles is greater than 90 degrees, so this is an obtuse triangle. Therefore, this triangle is an obtuse isosceles triangle. Example 3: Classify the triangle below by its sides and angles.

Solution: To classify this triangle by its sides, we compare the lengths of the sides. We see that all of the sides are equal, so this is an equilateral triangle. To classify this triangle by its angles, we compare the measures of the angles. We see that one of the angles is 90 degrees, so this is a right triangle. Therefore, this triangle is a right equilateral triangle. e2b6ddb00d