Applying the Pythagorean theorem

A ladder is leaning against a building. The base of the ladder is 5 feet from the building, and the top of the ladder reaches 10 feet high on the building.
What is the length of the ladder, rounded to the nearest foot?

• 9 feet
• 11 feet
• 13 feet
• 15 feet

A triangle has side lengths of 1.5 meters, 2 meters, and 2.5 meters.

Is it a right triangle?

• Yes, it is a right triangle!

• No, it is not a right triangle!

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east. To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.

• 53 meters

• 22 meters

• 75 meters

• 9 meters

Is the triangle a right triangle?

• Yes

• No

In any ​ (a)   triangle, the sum of the squares of the lengths of the​ (b)   is equal to the square of the length of the​ (c)   . 

• right
• legs
• hypotenuse
• acute
• isosceles
• equilateral
• areas

Do the sides make a right triangle?

sides 12 in, 10 in, 8 in

• no

• yes

The correct use of the Pythagorean Theorem with this triangle would be:

A firetruck parks 25 feet away from a building. The firetruck extends its ladder 65 feet. How far up the building from the truck's roof does the extension ladder reach? Round your answer to the nearest tenth.

• 60 feet

• 69.6 feet

• 3600 feet

• 4850 feet

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long. What is the horizontal distance from the end of the ramp to the back of the truck?

Would these side lengths form a right triangle?

• Yes

• No