Special Right Triangles Mixed

Front

What type of special triangle has angles of 45°-45°-90°?

Back

45°-45°-90° triangle is an isosceles right triangle where the legs are equal in length and the hypotenuse is √2 times the length of a leg.

Front

What is the relationship between the sides of a 30°-60°-90° triangle?

Back

In a 30°-60°-90° triangle, the lengths of the sides are in the ratio 1:√3:2, where the side opposite the 30° angle is the shortest.

Front

Find the length of the hypotenuse in a 45°-45°-90° triangle if each leg is 6.

Back

The hypotenuse is 6√2.

Front

What is the value of x in a 30°-60°-90° triangle if the shorter leg is 4?

Back

x = 4√3 (the longer leg) and the hypotenuse is 8.

Front

What type of triangle is formed by angles of 30°, 60°, and 90°?

Back

30°-60°-90° triangle.

Front

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

Back

The hypotenuse is 5√2.

Front

What is the measure of the angles in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60°.

Front

If the hypotenuse of a 30°-60°-90° triangle is 10, what is the length of the shorter leg?

Back

The shorter leg is 5.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

In a 45°-45°-90° triangle, if the hypotenuse is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.