8th Grade Math Test, Mod 11

Dave leans a ladder against his house to clean his gutters. The ladder alongside the side of his house and the ground underneath creates a right triangle. Dave's house is 12 ft tall, while the distance from the ladder to the house is 7 ft. What is the length of the ladder (rounded to the nearest foot)?

• 19 ft

• 4 ft

• 14 ft

• 193 ft

On a map, my house is at point (-2,6) and the grocery store is at point (7,2). Each unit on the map is a mile. What is the distance from my house to the grocery store?

• 41 miles

• 97 miles

Which sets of integers are NOT Pythagorean Triples?

• 3, 4, 5

• 6, -8, 10

• 9, 13, 15

• 8, 15, 17

One leg of a right triangle is 46 m long. The hypotenuse is 50 m long. How long is the other leg of the triangle (Round to the nearest hundredth of a meter)?

Evaluate responses using AI:

OFF

Samantha went camping and set up a tent. The front of the tent is in the form of an equilateral triangle with each side x equal to 6 feet in length. What is the height of her tent (rounded to the nearest hundredth)?

Evaluate responses using AI:

OFF

A right triangle has legs with lengths of 13 inches and 22 inches.

True or False:

The hypotenuse of this triangle is 21 inches

• True
• False

Answer explanation

You don't need to solve for the hypotenuse, since the hypotenuse is always the longest side of a right triangle.

Indicate on the table whether each of the side lengths form a right triangle.

Answer explanation

Use the Pythagorean Theorem to test each of these sets.

An isosceles right triangle has a hypotenuse of 8 units. What equations can you use to find the length of the two equal legs?

An isosceles right triangle has a hypotenuse of 8 units. Find the lengths of the two legs.

Evaluate responses using AI:

OFF

Right triangles are used in many jobs, including architecture. Draw your dream house, trying to use as many right triangles as you can.