TEST PYTHAGOREAN THEOREM

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 

• 5
• 7
• 10
• 12

Tags

CCSS.3.MD.D.8

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.HSG.SRT.C.8

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Which 3 lengths would in fact make a right triangle?

• 4, 3, 5

• 4, 3, 7

• 8, 5, 6

Tags

CCSS.HSG.SRT.C.8

If the sides of a right triangle are 40, 50, and 30, which sides are the legs?

• 40 and 50

• 50 and 30

• 40 and 30

• 30, 40, and 50

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? 

• 12 feet
• 13.5 feet
• 13 feet
• 11.6 feet

Tags

CCSS.HSG.SRT.C.8

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²
• 105 cm²
• 135 cm²
• 30 cm²

Tags

CCSS.8.G.B.7

A painter is using a 11 foot ladder to paint a house. The painter place the ladder 3 feet from the house. How high up the wall does the ladder reach?

• √100 feet
• √111 feet
• √112 feet
• √130 feet

A painter has a 28-foot ladder. She knows that for safety, the bottom of the ladder must be 1 foot from the base of the wall for every 4 feet of ladder lenght. If she places the bottom of the ladder that safe distance from the base of the wall, how far up the wall will the ladder reach? Round tour answer to the nearest tenths.

• The ladder will reach about 27.1 feet up the wall.

• The ladder will reach about 28.8 feet up the wall.

• The ladder will reach about 27.9 feet up the wall.

• The ladder will reach about 20.5 feet up the wall.

Alejandro wants to make an equilateral triangular garden with sides of length 30 ft. in his farm. What will be the area of this triangular garden? round all your answers to the nearest tenths.

• The area of the garden will be about 400 square feet.

• The area of the garden will be about 300 square feet.

• The area of the garden will be about 350 square feet.

• The area of the garden will be about 390 square feet.