Applying Pythagorean Theorem

Applying the Pythagorean theorem: Determine if the given set of numbers can form a right-angled triangle: 5, 12, 13

• Not sure

• Yes

• Maybe

• No

If I know the lengths of TWO sides of a RIGHT triangle then I can find the length of the third side.

• TRUE; using Pythagorean Theorem

• False; you would need information on an angle or two.

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

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

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

Look at the model of the Pythagorean Theorem. What is the length of the side of the large green square?

• 14 cm

• 15 cm

• 16 cm

• 13 cm

Which equation is set up correctly for this word problem?