12/5 Warm-Up

Front

What is the 45-45-90 triangle theorem?

Back

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

Front

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle.

Front

What type of triangle has one angle equal to 90 degrees?

Back

A right triangle.

Front

What type of triangle has all angles less than 90 degrees?

Back

An acute triangle.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

In a right triangle, what is the relationship between the lengths of the sides?

Back

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

What is the Pythagorean theorem?

Back

a² + b² = c², where c is the length of the hypotenuse.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.