Special Right Triangles Practice

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios, such as the 45-45-90 triangle and the 30-60-90 triangle.

Front

What is the side length ratio of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the side lengths are in the ratio 1:1:√2.

Front

What is the side length ratio of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the side lengths are in the ratio 1:√3:2.

Front

How do you find the height of an equilateral triangle?

Back

The height of an equilateral triangle can be found using the formula: height = (side length × √3) / 2.

Front

If the side length of a square is 's', what is the length of its diagonal?

Back

The length of the diagonal of a square is given by the formula: diagonal = s√2.

Front

What is the height of a 30-60-90 triangle if the shorter leg is 'x'?

Back

The height (longer leg) of a 30-60-90 triangle is x√3.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, both legs are equal, and the hypotenuse is √2 times the length of each leg.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = (base × height) / 2.

Front

What is the formula for the area of an equilateral triangle?

Back

The area of an equilateral triangle can be calculated using the formula: Area = (side²√3) / 4.

Front

If the diagonal of a square is 14 m, what is the side length?

Back

The side length of the square is 7√2 m.