45 45 90 Right Triangles

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 4 cm long.

• 4 cm

• 4√2 cm

• 8 cm

• 2√2 cm

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

• Hypotenuse = leg × √2

• Hypotenuse = leg × 2

• Hypotenuse = leg² + leg²

• Hypotenuse = leg / √2

What is a 45-45-90 triangle?

• A triangle with angles of 30 degrees, 60 degrees, and 90 degrees.

• An equilateral triangle with all angles measuring 60 degrees.

• A triangle where two sides are equal and the angles are 45 degrees, 45 degrees, and 90 degrees.

• A triangle with one angle measuring 90 degrees and the other two angles measuring 45 degrees and 45 degrees.

What is the perimeter of a 45-45-90 triangle with legs of length 3 cm?

• 6 cm

• 3(1 + √2) cm

• 9 cm

• 3√2 cm

If the hypotenuse of a 45-45-90 triangle is 4√2 inches, what is the length of each leg?

• 2 inches

• 3 inches

• 4 inches

• 5 inches

What is the length of each leg if the hypotenuse is 8√2 cm?

• 6 cm

• 7 cm

• 8 cm

• 10 cm

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

• 3 cm

• 5 cm

• 7 cm

• 10 cm

If the leg of a 45-45-90 triangle is 2√4 cm, what is the hypotenuse?

• 2√4 cm

• 4 cm

• 4√2 cm

• 2√8 cm

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

• 12 cm²

• 18 cm²

• 24 cm²

• 30 cm²

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

• The lengths of the legs are equal, and the hypotenuse is 2 times the length of a leg.

• The lengths of the legs are equal, and the hypotenuse is √3 times the length of a leg.

• The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

• The lengths of the legs are unequal, and the hypotenuse is equal to the sum of the legs.