45 - 45 - 90 Triangles

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.

Tags

CCSS.HSG.CO.C.10

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 each leg.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of the hypotenuse is a√2.

Tags

CCSS.8.G.B.8

Front

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 7 cm long.

Back

The hypotenuse is 7√2 cm.

Tags

CCSS.8.G.B.8

Front

What is the value of x if the hypotenuse of a 45-45-90 triangle is 9√2?

Back

The value of x (the length of each leg) is 9 cm.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if one leg measures 5 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of each leg is the hypotenuse divided by √2.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 2√6, what is the length of each leg?

Back

Each leg is √6 cm.

Tags

CCSS.8.G.B.8

Front

What is the area of a 45-45-90 triangle with legs of length 'a'?

Back

The area is (a^2)/2.

Tags

CCSS.6.G.A.1

Front

How do you derive the lengths of the sides in a 45-45-90 triangle?

Back

By using the Pythagorean theorem, where the sum of the squares of the legs equals the square of the hypotenuse.

Tags

CCSS.8.G.B.8