Understanding 45-45-90 Triangles

What makes a 45-45-90 triangle special?

• It has three equal sides.

• It is an equilateral triangle.

• It has two equal sides and a predictable ratio.

• It is a scalene triangle.

What is the purpose of using the Pythagorean theorem in a 45-45-90 triangle?

• To find the length of the hypotenuse or legs.

• To find the area of the triangle.

• To determine the angles of the triangle.

• To calculate the perimeter of the triangle.

What is the side length ratio for a 45-45-90 triangle?

• a : a : a

• a : a : a√3

• a : a : a√2

• a : b : c

If one leg of a 45-45-90 triangle is 8, what is the length of the hypotenuse?

• 8√2

• 4√2

• 8

• 16

Given a leg of 20 in a 45-45-90 triangle, what is the length of the hypotenuse?

• 20

• 20√2

• 10√2

• 40

If the hypotenuse of a 45-45-90 triangle is 5√2, what is the length of each leg?

• 2.5√2

• 10

• 5

• 5√2

What is the length of each leg if the hypotenuse is 4 in a 45-45-90 triangle?

• 2

• 4

• 4√2

• 2√2

Why do we rationalize the denominator in a fraction?

• To add a radical to the numerator.

• To make the fraction smaller.

• To eliminate the radical from the denominator.

• To make the fraction larger.

What is the simplified form of 4/√2?

• 4√2

• 2√2

• √2

• 2

In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?

• 5

• 10

• 10√2

• 5√2