QUIZS Pythagorean Theorem TEST Unit 6

If you know the lengths of the two legs of a right triangle, how can you find the hypotenuse?

• You can find the hypotenuse by using the formula: @@c = ext{sqrt}(a^2 + b^2)@@.

• You can find the hypotenuse by adding the lengths of the two legs.

• You can find the hypotenuse by multiplying the lengths of the two legs.

• You can find the hypotenuse by using the formula: @@c = a + b@@.

True or False: In a right triangle, the hypotenuse is always the longest side.

• True

• False

• The hypotenuse is the shortest side

• The hypotenuse is equal to the other two sides

What is the Pythagorean Theorem?

• In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: @@a^2 + b^2 = c^2@@.

• The sum of the angles in a triangle is equal to 180 degrees.

• The area of a triangle is equal to half the base times the height.

• In any triangle, the longest side is always opposite the largest angle.

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

• Check if the lengths of the sides satisfy the equation @@a^2 + b^2 = c^2@@.

• Ensure that one angle measures 90 degrees.

• Verify that the triangle is isosceles.

• Calculate the area of the triangle using the formula A = 1/2 * base * height.

In a right triangle, what are the legs?

• The two sides that form the right angle.

• The longest side opposite the right angle.

• The two sides that are equal in length.

• The sides that are adjacent to the right angle.

If a right triangle has a hypotenuse of 13 and one leg of 5, how do you find the other leg?

• Set up the equation: @@5^2 + b^2 = 13^2@@ and solve for b.

• Use the Pythagorean theorem: @@a^2 + b^2 = c^2@@ and substitute values.

• Subtract the length of the known leg from the hypotenuse.

• Multiply the lengths of the legs to find the other leg.

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

• @@a^2 + b^2 = c^2@@, where c is the hypotenuse.

• @@a + b = c@@, where c is the hypotenuse.

• @@a^2 - b^2 = c^2@@, where c is the hypotenuse.

• @@a^2 + c^2 = b^2@@, where c is the hypotenuse.

What is the distance across the diagonal of a square with a side length of 10 units?

• 10 units

• 14.14 units

• 15 units

• 12 units

What is the value of c if a = 9 and b = 12?

• 12

• 15

• 18

• 21

If a baseball diamond is a square with sides of 90 feet, how do you calculate the distance across the diagonal?

• @@ ext{sqrt}(90^2 + 90^2) = 127.3 feet@@

• @@ ext{sqrt}(90^2 + 45^2) = 101.25 feet@@

• @@90 + 90 = 180 feet@@

• @@90 imes 2 = 180 feet@@