45-45-90 no trig

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

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

Back

The hypotenuse is 5√2.

Front

What is the formula to find the length of the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Front

How do you determine if a triangle is a right triangle?

Back

A triangle is a right triangle if it satisfies the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What type of triangle is formed by angles of 45°, 45°, and 90°?

Back

An isosceles right triangle.

Front

If a triangle has side lengths of 20, 21, and 28, what type of triangle is it?

Back

It is an acute triangle.

Front

If a triangle has side lengths of 5, 8, and 6, what type of triangle is it?

Back

It is an obtuse triangle.

Front

What is the length of a leg in a 45-45-90 triangle if the hypotenuse is 8?

Back

The length of each leg is 8/√2 or 4√2.