Similar Triangle Unknown Length

If two right triangles are similar, what can you say about their corresponding sides?

• The corresponding sides of similar right triangles are in proportion to each other.

• The corresponding sides of similar right triangles are equal in length.

• The corresponding sides of similar right triangles are perpendicular to each other.

• The corresponding sides of similar right triangles are parallel to each other.

State the conditions for two right triangles to be similar.

• They have the same hypotenuse length

• They have the same area

• They have the same perimeter

• The conditions for two right triangles to be similar are that their corresponding angles are congruent.

How can you use the right triangle similarity theorem to solve for unknown side lengths?

• Apply the Law of Sines to determine the unknown side lengths

• Calculate the area of the triangle to solve for the unknown side lengths

• Set up a proportion with the known side lengths and the unknown side lengths, then solve for the unknown side length using cross multiplication.

• Use the Pythagorean theorem to find the unknown side lengths

What is the right triangle similarity theorem?

• The right triangle similarity theorem states that all right triangles are congruent

• The right triangle similarity theorem states that if a right triangle is placed inside another right triangle, then the two triangles are similar if the hypotenuse and one other side of the smaller triangle are proportional to the corresponding sides of the larger triangle.

• The right triangle similarity theorem states that the hypotenuse of a right triangle is always equal to the sum of the other two sides

• The right triangle similarity theorem states that the angles of a right triangle are always equal

If two right triangles are similar, what can you say about their corresponding angles?

• Corresponding angles of similar right triangles are always acute.

• Corresponding angles of similar right triangles are equal to 90 degrees.

• Corresponding angles of similar right triangles are congruent.

• Corresponding angles of similar right triangles are supplementary.

The figures shown are similar figures. Write and solve for the unknown length. Show all of your work.

• 1620 cm

• 33.75 cm

• 21.6 cm

• 60 cm

• None of the above

• 54

• 105

• 21

• 180

FIll in the blank. The missing side length in the second triangle is equal to __ in

Assume the shapes are turned the correct way. What is the length of the missing side?

A 6-foot tall adult casts a shadow that is 16 feet long. Estimate the height of a palm tree that casts a 44-foot shadow

• 17 ft

• 16 ft

• 117 ft

• 2 ft