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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.HSG.GPE.B.7

Which sets of integers are NOT Pythagorean Triples?

• 3, 4, 5

• 6, -8, 10

• 9, 13, 15

• 8, 15, 17

Tags

CCSS.8.G.B.8

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)?

Tags

CCSS.8.G.B.7

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)?

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.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8

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