One Two or No Triangle?

The video tutorial explores the properties of triangles, focusing on angles and side lengths. It explains how to determine the height of a triangle using trigonometry, specifically the sine function. The tutorial discusses conditions under which a triangle can exist based on its side lengths and height. It also examines the possibility of multiple triangles existing when rotating a triangle, concluding that only one triangle can exist under certain conditions.

What is the significance of the angle and side lengths in the given triangle?

• They determine the color of the triangle.

• They help in identifying the type of triangle.

• They are used to calculate the area of the triangle.

• They are irrelevant to the triangle's properties.

How is the height of the triangle calculated using trigonometry?

• By using the sine function.

• By using the tangent function.

• By using the Pythagorean theorem.

• By using the cosine function.

What is the calculated height of the triangle when rounded?

• 8

• 6

• 7

• 5

Under what condition can no triangle exist?

• When the side is shorter than the height.

• When the side is longer than the height.

• When the side is equal to the height.

• When the side is twice the height.

Why does only one triangle exist in the given scenario?

• Because the side length is larger than the height but smaller than the other side.

• Because the side length is larger than both the height and the other side.

• Because the side length is equal to the height.

• Because the side length is smaller than the height.