Column 1: Squares
What is the Pythagorean theorem?
a2+b2= c2
Set up the problem if a=unknown, b=3, c=5
a2+32= 52
A soccer field is 90 meters wide and 120 meters long. If the coach asks players to run from one corner diagonal to the other, how far do they run?
150 meters.
What is the hypotenuse of a triangle that has side lengths 8m and 9m? (Round to 2 decimal places.)
12.04m
Side A is missing. Side B is 4cm and the hypotenuse is 20cm. Find side A. Round to 2 decimal places.
19.60cm
A wheelchair ramp is constructed to rise 1 foot off the ground and extends 12 feet along the ground. How long will the wheelchair ramp be? Round to the nearest whole number.
12 feet
What is the square of 200?
40,000
What is the hypotenuse of a triangle with side lengths of 90ft and 30ft? (2 decimal places)
94.87ft
The diagonal of a pool table is 7.5 feet and it has a width of 3.5 feet. Find the length.
8.28
Mark needs to wash the windows on the second floor of a building. He knows the windows are 12 feet above the ground. Because of dense shrubbery, he has to put the base of the ladder 5 feet from the building. What ladder length does he need?
13 feet
What is the square of 1000?
1,000,000
Longest side and opposite the right angle
A 12 meter ladder is leaned up against a wall. How far out will the ladder have to be to reach 13 meters up the wall?
5 meters
Alex attaches a diagonal brace to a rectangular-shaped picture frame. If the dimensions of the frame as 33 inches and 44 inches, what is the length of the brace?
55 inches
You are building a fenced in square. If one side is 132 feet, how big will the square be?
17424 feet
What is √26.2 squared?
26.2
Determine if this triangle is a right angle. Prove it with the formula.
12.2, 13.8, 20.1
No it is not.
12.22+13.82 equals 18.42 or 339.28, not 404.01
The hypotenuse of a triangle is 25cm, the side B is 15cm. What length is side A?
20cm
A ladder is 12ft from a wall. Diagonally up the wall it is 34ft. How tall is the wall? Round to the nearest 10th.
31.81ft