Square Roots
Approximating Square Roots
Simplifying Square Roots
Using the Pythagorean Theorem
Vocabulary
100
Find the two square roots of the number 121.
What is 11 and -11
100
Estimate the square root of 52 to the nearest integer.
What is 7
100
Square root of 169
What is 13
100
Find the missing hypotenuse of a right triangle if the two legs have lengths of 3 and 4.
What is 5
100
What is a right triangle?
A triangle with a 90 degree angle (right angle).
200
Find the square root of 4/25
What is 2/5
200
Estimate the square root of 190 to the nearest integer.
What is 14
200
The Pythagorean Theorem can be used on ALL triangles. True or false, explain your reasoning.
False
200
Find the missing leg of a right triangle if it has a hypotenuse of 13 and a leg of 12.
What is 5
200
What is the hypotenuse?
The longest side of a right triangle. It is across from the right angle.
300
Find the square root of 28/7
What is 2
300
Which is greater 10 or the square root of 20
What is 10
300
Double Jeopardy What is the formula for the Pythagorean theorem?
what is a2 + b2 = c2
300
Find the missing leg of a right triangle if it has a hypotenuse of 6.5 cm and a leg of 1.6 cm.
What is 6.3 cm
300
Define the converse of the Pythagorean Theorem.
If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.
400
Evalate the expression: Square root (18/2) plus 1/4
What is 3 and 1/4 or 13/4
400
Which number is greater: the negative square root of 182, or the negative square root of 192
What is the negative square root of 182
400
Where is the leg on a right triangle?
What is to the right and left of the right angle?
400
Is a trianlge that has sides of 28, 46, and 53 a right trianlge? Explain
No because 784 + 2116 does not equal 2809
400
What is the leg of a right triangle?
Either of the two shorter sides of a right triangle. These two sides together form the right angle in the right triangle.
500
Evaluate the expression: square root of 49 plus 22
What is 29
500
Estimate to the nearest integer: the negative square root of 335/2
What is -13
500
Square root of 400
What is 20
500
Is a triangle that has side lenghts of 1.2m, 3.5m, and 3.7m a right triangle? Explain.
Yes because 1.44 + 12.25 = 13.69
500
Who was the founder of the Pythagorean Theorem?
Pythagoras