Special Triangles, Pythagorean Theorem, and Similarity Triangles

Find the value of x and y.

You need a ladder that will reach up a 25 ft. tall house when placed 10 ft. away from the house. How tall does the ladder need to be?

• 25

• 26

• 27

• 28

If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

• SAS Similarity Theorem

• AA similarity Theorem

• SSS Similarity Theorem

• Right Triangle Similarity Theorem

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

Calculate the value of c in the right triangle above.

• c = 9.00

• c = 41.00

• c = √41.00

• c = 3

Calculate the value of h in the figure above.

• h = 35.60

• h = 35.00

• h = 35.71

• h = 61.03

Calculate the value of u and v in the right triangle above.

• u = 8, v = 4√3

• u = 4√2, v = 8

• u = 16, v = 8

• u = 4√3, v = 8

Calculate the values of x and y in the right triangle above.

• x = 6, y = 3√3

• x = 3√2, y = 3

• x = 3√3, y = 6

• x = 3√3, y = 3√2

Find the length of the missing side of the right triangle above.

• 48 in.

• 52 in.

• 16 in.

• 24 in.