Additional Practice Problem Set

Ethan, Aria, and Anika are on a mission to build the coolest treehouse ever! They have a bunch of triangular wooden planks, and they need to figure out which ones are perfect right triangles to use for the corners. Can you help them identify the right triangles?

• Triangle A

• Triangle B

• Triangle C

• None of the above

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

David and Aria are building a triangular garden with a hypotenuse of 20 units. What are possible lengths for the two legs of their garden?

• 10 units and 10√3 units

• 12 units and 16 units

• 15 units and 15 units

• 9 units and 12 units

Tags

CCSS.8.G.B.7

Noah and Luna are on a treasure hunt and they come across a mysterious map. The map shows a right triangle where p and q represent the length of a leg, and r represents the length of its hypotenuse. Help them find the missing length to unlock the next clue! a. p=39, q=80, r=?

• r=89

• r=100

• r=85

• r=95

Tags

CCSS.8.G.B.7

Emma and Kai are building a treehouse and need to make sure the ladder is the right size. The ladder forms a right triangle with the tree, where the distance from the tree to the base of the ladder is 63 feet, and the ladder itself is 65 feet long. Can you help them find out how high the ladder reaches on the tree? b. p=63, r=65, q=?

• q=16

• q=60

• q=25

• q=30

Tags

CCSS.8.G.B.7

Zoe, David, and Noah are exploring the magical world of triangles! They stumble upon four mysterious triangles labeled P, Q, R, and S. For which triangle does the Pythagorean Theorem not express the relationship between the lengths of its three sides?

• P

• Q

• R

• S

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

Charlotte and Noah are building a ramp for their treehouse. They have a right-angled triangle where one side is 5 cm and the base is 12 cm. Can you help them find the length of the missing side?

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7

Tags

CCSS.8.G.B.7

CCSS.8.EE.A.2

Mason and Lily are planning to build a treehouse. They need to find the length of the ladder that will reach from the ground to the treehouse platform. If one side of the ladder is 8 units and the other side is 6 units, can you help them find the length of the ladder using the Pythagorean theorem?

Tags

CCSS.8.G.B.7

Noah and Lily are building a treehouse and need to make sure the ladder is the right length. If the base of the ladder is 6 cm from the tree and the top of the ladder needs to reach 8 cm up the tree, how long should the ladder be? Use the Pythagorean theorem to find out!

Tags

CCSS.8.G.B.7

Avery and Oliver are playing a game with a ladder. The ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, can you help them figure out how long the ladder is?

• 13 feet

• 12 feet

• 11 feet

• 10 feet

Tags

CCSS.8.G.B.7