DEC 2 GEO 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.

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.

Front

If the leg of a 45-45-90 triangle is 8 cm, what is the length of the hypotenuse?

Back

8√2 cm.

Front

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

Back

Hypotenuse = leg × √2.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2 cm, what is the length of each leg?

Back

8 cm.

Front

What is the value of √2 approximately?

Back

√2 is approximately 1.414.

Front

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

Back

5 cm (both legs are equal).

Front

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

Back

7√2 cm.

Front

What is the area of a 45-45-90 triangle with legs of length 4 cm?

Back

Area = (1/2) × leg × leg = (1/2) × 4 × 4 = 8 cm².

Front

What is the perimeter of a 45-45-90 triangle with legs of length 6 cm?

Back

Perimeter = leg + leg + hypotenuse = 6 + 6 + 6√2 cm.