45-45-90
A 45°-45°-90° triangle has legs of length 8. Find the hypotenuse.
8sqrt2
In a 30°-60°-90° triangle, the short leg is 7. Find the long leg and hypotenuse.
Long leg = 7sqrt3, Hypotenuse = 14
A ladder is leaning against a wall, forming a 30° angle with the ground. The ladder is 20 feet long. How high up the wall does it reach?
10 feet
A 45°-45°-90° triangle has a hypotenuse of 12sqrt2. Find each leg.
12
A 30°-60°-90° triangle has a hypotenuse of 24. Find both legs.
Short leg = 12, Long leg = 12sqrt3
A square park has a diagonal path measuring 24sqrt2 meters. Find the length of each side.
24 m
The diagonal of a square is 18 cm. Find the length of one side.
9sqrt2 cm
A 30°-60°-90° triangle has a long leg of 15sqrt3. Find the short leg and hypotenuse.
Short leg = 15, Hypotenuse = 30
An equilateral triangle has side lengths of 18 cm. An altitude is drawn from a vertex to the opposite side. Find the altitude.
9sqrt3 cm