45-45-90 Triangles

Front

What type of special right triangle is a 45-45-90 triangle?

Back

Isosceles right triangle.

Tags

CCSS.HSG.CO.C.10

Front

If the leg of a 45-45-90 triangle is 7 cm long, what is the length of the hypotenuse?

Back

7√2 cm.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if one leg is 'a', what is the length of the other leg?

Back

The other leg is also 'a'.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, how do you calculate the hypotenuse if the leg length is known?

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

What are the angles in a 45-45-90 triangle?

Back

The angles are 45°, 45°, and 90°.

Tags

CCSS.8.G.B.8

Front

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

Back

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

Tags

CCSS.8.G.B.8

Front

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

Back

Each leg is 10 cm.

Tags

CCSS.8.G.B.8

Front

What type of triangle is defined by having two equal sides and a right angle?

Back

Isosceles right triangle (45-45-90 triangle).

Tags

CCSS.4.G.A.2

Front

If one leg of a 45-45-90 triangle is 4 cm, what are the lengths of the other leg and the hypotenuse?

Back

Other leg = 4 cm, Hypotenuse = 4√2 cm.

Tags

CCSS.8.G.B.8

Front

What is the formula for finding the area of a 45-45-90 triangle?

Back

Area = (1/2) × leg × leg.

Tags

CCSS.6.G.A.1