Right Triangle Properties and Weight Models

This lesson focuses on finding unknown side lengths in triangles using equations. It begins with identifying which equation doesn't belong, followed by labeling hypotenuses. The lesson then covers solving for unknown sides, including those with fractional lengths, and concludes with composite figures. A summary and homework instructions are provided.

Which of the following characteristics makes an equation stand out from the others in the context of this lesson?

• It has a multiplication sign.

• It has no variables.

• It includes a subtraction sign.

• It uses a division sign.

What is the correct way to identify the hypotenuse in a right triangle?

• It is the side opposite the smallest angle.

• It is the side adjacent to the right angle.

• It is the side opposite the right angle.

• It is the longest side of any triangle.

When solving for a missing side in a right triangle, what is the first step?

• Subtract the smallest side from the largest.

• Multiply the side lengths.

• Identify the hypotenuse and apply the Pythagorean theorem.

• Add all side lengths together.

If a right triangle has sides of 2.4 and 6.5, what is the length of the hypotenuse?

• 8.9

• 7.9

• 48.1

• Square root of 48.1

In a right triangle with a side length of 1/4 and a hypotenuse of 1/3, what is the length of the other side?

• Square root of 7/144

• Square root of 9/144

• Square root of 16/144

• Square root of 25/144

If the hypotenuse of a right triangle is 10, and one side is 8, what is the length of the other side?

• 6

• 8

• 7

• 9

What is the result of simplifying the expression (1/2)^3?

• 1/8

• 1/2

• 1/4

• 1/16

How many times more high school football players are there compared to professional players in the U.S.?

• 500 times

• 200 times

• 1000 times

• 100 times

What does the slope of 2.45 in the dog weight model represent?

• The weekly weight gain of the dog.

• The total weight of the dog.

• The initial weight of the dog.

• The age of the dog.

What is the expected weight of a newborn Doberman according to the model?

• 0 pounds

• 3.67 pounds

• 1.22 pounds

• 2.45 pounds