30-60-90 Special Right Triangles Practice

How do you find the hypotenuse in a 30-60-90 triangle?

• Multiply the length of the shorter leg by 2.

• Add the lengths of both legs.

• Multiply the length of the longer leg by 2.

• Use the Pythagorean theorem.

How do you find the length of the longer leg in a 30-60-90 triangle?

• Multiply the length of the shorter leg by @@ ext{√3}@@.

• Add the lengths of both legs together.

• Divide the length of the shorter leg by 2.

• Multiply the length of the shorter leg by 2.

What is the relationship between the sides of a 30-60-90 triangle?

• In a 30-60-90 triangle, the sides are in the ratio 1:2:√3.

• In a 30-60-90 triangle, if the shorter leg is 'x', then the longer leg is 'x√3' and the hypotenuse is '2x'.

• In a 30-60-90 triangle, all sides are equal in length.

• In a 30-60-90 triangle, the hypotenuse is always the shortest side.

What is the relationship between the sides of a 45-45-90 triangle?

• In a 45-45-90 triangle, if the length of each leg is 'x', then the hypotenuse is 'x√2'.

• In a 45-45-90 triangle, the hypotenuse is twice the length of each leg.

• In a 45-45-90 triangle, the lengths of all sides are equal.

• In a 45-45-90 triangle, the hypotenuse is 'x/√2' where 'x' is the length of each leg.

If the hypotenuse of a 45-45-90 triangle is 20, what is the length of each leg?

• 10

• 10√2

• 20/√2

• 15

What is a 45-45-90 triangle?

• A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : @@\sqrt{2}@@.

• A triangle with one angle measuring 90 degrees and the other two angles measuring 30 and 60 degrees.

• A triangle where all three sides are equal in length.

• A triangle with angles measuring 60 degrees, 60 degrees, and 60 degrees.

What is the value of x in a 45-45-90 triangle if one leg is 12?

• 12

• 12√2

• 24

• 6√2

What is the formula for the area of a triangle?

• Area = @@rac{1}{2} imes ext{base} imes ext{height}@@

• Area = ext{base} imes ext{height}

• Area = ext{base} + ext{height}

• Area = rac{1}{3} imes ext{base} imes ext{height}

What is the value of the shorter leg in a 30-60-90 triangle if the hypotenuse is 24?

• 10

• 12

• 14

• 16

What is the Pythagorean theorem?

• In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: @@a^2 + b^2 = c^2@@.

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

• The area of a circle is calculated using the formula: @@A = rac{ heta}{360} imes ext{Area of the circle}@@.

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