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 length of the hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

Front

How do you determine if a triangle is obtuse?

Back

A triangle is obtuse if one of its angles is greater than 90 degrees.

Tags

CCSS.4.G.A.2

Front

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

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?

Back

Each leg is 10.

Tags

CCSS.8.G.B.8

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

In a triangle with sides 5, 8, and 6, how can you determine if it is obtuse?

Back

Use the Pythagorean theorem: if c² > a² + b², the triangle is obtuse.

Tags

CCSS.8.G.B.8

Front

What is the value of y in a 45-45-90 triangle if one leg is 5?

Back

y = 5.

Tags

CCSS.8.G.B.8

Front

If a triangle has angles of 45°, 45°, and 90°, what type of triangle is it?

Back

It is an isosceles right triangle.

Tags

CCSS.4.G.A.2