Problems With Pythagorean Theorems

Lightning struck a tree, causing it to break and crash to theground. The tree broke off 12 feet above the ground and thebroken part was 20 feet long. If the broken tree formed a right triangle, how far away is the tip of the fallen tree?

Tags

CCSS.8.G.B.8

The playing bed of a pool table is in the shape of a rectangle, which measures 154 inches by 20 inches. What is the length of the diagonal of the table? Round your answer to the nearest inch.

• 157

• 155

• 156

• 24116

Tags

CCSS.8.G.B.8

Oh No! I can't get to my soccer ball because I can't remember how far away from the house the ladder needs to be!

The wall is 15 feet high. The ladder is 20 feet long.

How far does the ladder need to be from the house? Round to the nearest tenth).

• 13.0 feet

• 25 feet

• 15.2 feet

• 13.2 feet

Tags

CCSS.8.G.B.8

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

• 7 inches

• 10 inches

• 19.7 inches

• 13.7 inches

Tags

CCSS.8.G.B.8

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 105 meters

• 79.4 meters

• 210 meters

• 150 meters

Tags

CCSS.8.G.B.8

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Tags

CCSS.8.G.B.8

• A

• B

• C

• D

Tags

CCSS.8.G.B.8

• A

• B

• C

• D

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1