G.4.4.2 Tons of Triangles

Topic:
Triangles
Drag point C below to make the triangle whatever size you like.

Compute the following ratio: the length of the side opposite to the 37° angle divided by the length of the hypotenuse. Round to the nearest thousandth.

Compute the following ratio: the length of the side adjacent to the 37° angle divided by the length of the hypotenuse. Round to the nearest thousandth.

Compute the following ratio: the length of the side opposite to the 37° angle divided by the length of the side adjacent to the 37° angle. Round to the nearest thousandth.

Drag point C below to make the triangle whatever size you like.

Compute the following ratio: the length of the side opposite to the 72° angle divided by the length of the hypotenuse. Round to the nearest thousandth.

Compute the following ratio: the length of the side adjacent to the 72° angle divided by the length of the hypotenuse. Round to the nearest thousandth.

Compute the following ratio: the length of the side opposite to the 72° angle divided by the length of the side adjacent to the 72° angle. Round to the nearest thousandth.

If we were to repeat this entire activity, but use a right triangle with different angles, what do you think the result would be?