Understanding the Pythagorean Theorem

What type of triangle is the Pythagorean Theorem applicable to?

• Isosceles triangle

• Scalene triangle

• Equilateral triangle

• Right triangle

In a right triangle, what is the side opposite the right angle called?

• Base

• Height

• Leg

• Hypotenuse

What is the formula for the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

If the legs of a right triangle are 3 and 8, what is the length of the hypotenuse?

• 10

• 9

• 11

• 8.54

Why is it important to check that the hypotenuse is the longest side?

• To ensure the triangle is equilateral

• To verify the calculation is correct

• To confirm the triangle is isosceles

• To make sure the triangle is scalene

What is the exact form of the square root of 73?

• 8.54

• 73

• √73

• 9

When given the hypotenuse and one leg, what is the first step to find the missing leg?

• Multiply the known leg by the hypotenuse

• Divide the hypotenuse by the known leg

• Subtract the square of the known leg from the square of the hypotenuse

• Add the squares of the known sides

What is the simplified radical form of √96?

• √96

• 4√6

• 6√4

• 8√3

What is the decimal approximation of √96?

• 10.00

• 9.80

• 9.60

• 9.50

Why might exact form be preferred over decimal form?

• It is more accurate

• It is easier to calculate

• It is less time-consuming

• It is simpler to understand